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All this numerology is nice, but there is something that you should take in count, the units. The number "" or any other number doesn't represent anything, since hz depends on the hz, wich depends on the second, which is completely arbitrary. The only number that could in principle have some intrinsic importance are relations between quantities of the same units, since that would be a pure numbers and not a relationship between two distinct units, which will always be arbitrary.

Bautista this is a good point but Interesting article.. My present leadsinger struggles a bit with our material,, He is a baritenor or high pitched baritone and sings a lot of cover stuff in their original key, WE talked about detuning the guitar and bass to E-flat transposing all our material down a half note.. But to my ears a lot of songs sound less dramatic or energetic now when he sings then a half note deeper Truth be told a lot of songs sound closer to my sweet spot now I have at one single occasion a long time ago sang all his songs live detuned a half note by tuning the guitars and basses to e-flat, which we are in the mist of doing at the moment I got through but just borderline A less dramatic downtune to Hz would make my leadsinger get through with less voice fatigue but still be more around his sweet spot than down at Hz downtune..

I think the voice and the entry to the passaggio is key.. In Hz my E4 note or his F4 note needs more weight lifted of the note which in a live situation can be difficult to do.. Great article, Assaf, though it looks like you read my own article on the subject first and based the form and outline of yours on mine!

Some of the information in our articles is the same, some different, so it's worth reading both for a greater perspective. Many of the points that both of you mention are simply not true. Instead of copying and pasting here, please read my article for clarification of some of those points. There's nothing wrong with being 'wrong'. The problem comes when when refusing to update or change ones perspective when confronted with more accurate information - a common human trait, we've all done it.

It's not about or It's about The Audible scales which have been created. The twelve-tone equal temperament system A. Any one can say what they want but ultimately the equal temperament system was made for modern ease with no regard to the natural world which is non constricting.

While one has in just Intonation AKA non constricting micro tonality a large number of natural audible intervals available, one has in the twelve-tone equal temperament system A.

So to conclude Western musicology has made a prison for its music. It has locked it out from a vast universe of sounds and potential musical expressions. In addition, it has marred the harmony and beauty of the natural sound intervals by distorting their natural relationship. It has even conditioned musicians to hear music that are in accordance with natural harmonics as out of tune!

By incorporating western musical instruments and equal temperament tuning into the ancient just intonation Gandharva Vedic tuning Which most modern musicians have no idea about is like night and day. And yes if we look to reference the modern measurable WAV of the seat of A in the Gandharva scale we will see it is closer to In comparison equal temperament looses the original strength and purity of the music and musical mystics would say it sounds distorted and polluted.

It is like bringing the music away from natural law, while it should do the opposite, bring us more in tune with natural law and Beauty, but hey this is the world we live in today.

Fiction: This discussion will end someday. Fact: Stubborn humans. There is no smoke without fire they say. But using this logic we arrive at octal is in decimal , and so that might be the next tuning. And that last thing above isn't as far out as it sounds. Randal Roffe says the best tuning is to lower c a bit down towards Bb, Though we prefer The God particle and again claimed by some to represent anti-matter at least.

Add up the inner angles of all platonic shapes and solids and you get a perfect F Major chord in tuning. Much more elegant than when you consider shapes create matter, does it matter? It does to me when I consider sympathetic resonance with the all and everything.

Having said that, as a musician, I find all frequency relevant, and enjoy a bit of varietal drift from time to time, tuning to the moment. I would recommend a free iOS audio player www. It's hard to believe okay, maybe not so hard that people are so enamored with numerology that they ignore the fact that, as the article points out repeatedly, the numerical value of a frequency is dependent on the length of one second in time, which is arbitrary.

You could take any pleasing number you like and decide it's the key to the universe, but if we happened to measure time in seconds that were any shorter or longer than the standard second, a given frequency would be measured to be a different cycles per second Hertz.

THAT said, I'm not seeing any evidence that anyone did center on that specific frequency, and besides, for that to mean anything, they would have had to use the exact same major scale system as in Western music. For those that did use Western scales, before the Middle Ages there's no particular reason they would have used A4 as the centrally tuned pitch, which means you'd need to know the pitches of every note in a scale to know whether the equivalent of A4 was set a certain frequency.

FACT: You're an idiot. You said you've added pitch control to the software. What about functionality that let's me sweep between base pitches through the course of the song being played. A "modulation". A song starts in Hz A and ends in Hz A. What about the frequency tables? I've thoroughly enjoyed reading these comments, almost more than the article itself.

I've been playing in A for 50 years. A year ago, after some nudging from a few friends and some curiosity on my part, I tuned my piano down to A When i first played it I was disappointed.

It seemed kinda flat and uninteresting and I was pretty sure I was gonna tune back up to A next time. But the next time a day later I played it I really felt like there was something about it that I liked. I found myself really enjoying it for some reason. I felt like my instrument 7ft grand was just humming as I played and I found myself getting lost in playing and improvising more than I had in a long time. I really don't KNOW. I've heard all the myths about the tuning and have spent some time on-line researching.

But I've never found anything tangible or scientific to support the claims of A tuning advocates. I just finished a recording in A that I'm releasing this September and was hoping to write something intelligent in the liner notes about the tuning. I can't find any "scientific" support but I somehow enjoy the feeling of it.

I DO think that the constant raising of concert pitch is a problem. It would be better to increase one's composing and performance skills to give the music a brighter edge than to keep raising pitch. That's gonna have to ceiling-out somewhere. I plan on recording other albums with other instruments tuned to A as well. I'm gonna trust my instincts and do what feels good to me. Why not? It's my music. It's just too bad that I won't be able write anything tangible in the liner notes about the proven superiority of A But again, I have to say that the debate is very interesting.

Is there a "user friendly" instrument that I could work with to explore that and expand my ear? I do think that western music is limited and does desensitize one's ear to natural law and sounds. I also really resonated with MICAH's comments about the measurement and names because all forms of that are relative and subjective to the measurement system and therefore man-made, whereas natural sounds and frequencies are absolute.

So, again, it's all very interesting. I'm gonna stay with A for now even if it's just to say a definitive "no" to this sickening trend of "faster, tighter, harder and more is better". I'm guessing Peter 'K'?! Many years ago we spoke about something, something music world related, when you were living in upstate NY. Have you read my article, the original one that this article heavily 'borrowed' from?

I think it's great that you enjoy the lower tuning on your piano, and I also think it's great that you have nothing scientifically tangible to say about it in the liner notes! Why would it be bad not to have something, other than to play into the marketing hype?

You're an artist. Artists are the 'scientists' of emotion, feeling, spirit, etc and we speak a different language. The simple fact that you are prefering your piano tuned lower is enough.

I'll bet anyone twelve dollars that if you tuned it to Hz or Hz you would be having the exact same experience. Music and the great mystery and magic of life will never be nailed down to simplistic 'cure-alls' like the story. In fact, a study was done where people were played a variety of music examples where a piece was played at a particular tuning and then the identical piece played lower. In EVERY case participants preferred the lower tuning - regardless of what the lower or higher tuning was.

In other words, if the lower tuning was Hz, that was preferred. If the lower tuning was Hz while the higher was Hz, all participants preferred the lower Hz. If I had the link at hand I'd post it. Our perceptions are relative, not absolute, and certainly not tied to a number concept that doesn't actually exist i. Hello chaps I don't know the first thing about Music or in fact can even read it! I did think, this is just me subconsciously reacting to hyperbole from the Internet so I did an impromptu experiment around my mates house with his piano and a Keyboard he had in the same room I am happy to stick with it and many people tell me they find my music very relaxing even though I don't mention the frequency!

Andrew, See my comment above yours. Of course it's not a fluke. Our perceptions seem to be relative. In the contemporary world it's the lowering, softening, more relaxing that is the intuitive desire in spite of what is predominant in pop culture.

Could this be a natural response to the conditions of the world we have created? I agree Rich I will continue to use this particular frequency as I get so much positivite feedback. Most of these "fiction" arguments are highly bloated with theoretical subjection. No one has the time to go into each resource and milk out the biased thought of the author and why the article itself is unscientific.

I would venture to say that the author, Assaf Dar Sagol, has a primary interest in secular philosophy. FACT, The phonograph, present everywhere modern revolution took place, played exclusive hertz.

FACT, the worlds oldest pipe organs still playing today are tuned to hz. FACT, 20 year experimentation has shown conclusive evidence that is highly preferred to as per Maria Renold.

FACT, there are innumerable recordings on vinyl predating that are recorded in hz. FACT, the geometry of in vibration plates is more symmetrical while maintaining higher articulated contours than vibrating plates. Should I continue? Come on Sagol! Where is your HARD evidences? This forum is absolutely the most. Although I'm not formally trained in any of the arts, I have enjoyed the comments on this page immensely.

The fact that all things are connected at a cellular level is what drives communication in all aspects. Sound is as visual as taste, and touch and to a great extent has not been given it's rightful place in our existence in quite some time. Also stating the walking barefoot on the earth established a comunion with the earth, through. Possibly stepping on toes here, but I'm noticing a little pattern here; people are forgetting the line between logic and belief not to say belief is illogical, just questionable at best.

It seems that when you look for something, and are persistent enough to find it, you will find it; however, others will most likely not find what you do. For example; the number of the universe. The average, everyday person will not think 42 is a significant number, age or occurrence. But there are those who find he number everywhere. But the same could be said for the number Or The debate draws a parallel, I believe at least, to the colloidal silver debate.

In my opinion and experience, it does not work. But my father-in-law uses the substance and claims to feel better each day. To state as fact that "Hz is magical and contains healing properties" is wrong. However, if you make the statement a personal one, who can argue? When you believe that something will work, or that something is more then what others think of it, then you will find that for you, it's everything you think it is.

In my opinion, I like the sound of , but it lacks the intensity than can be found within , and does not sound as structured as I'm not going to drudge up numbers to support my opinion, because that's all it is.

It's a belief that some may not find logical. Hey guys, much appreciate the above article and comments, I have grown weary of listening to musicians talk about Y'all should play the Irish Uilleann pipes for a refreshed perspective on tuning Spend half the night tuning up and the other half playing out of tune Music will always be magical and cosmic Life is too short, the most noble and deeply spiritual thing you can do is pursue and acknowledge the truth.

I think most people are anxious to find some meaning to their music. So much so that they grasp at over simplification like this one frequency that must have some significance. Consider this, our world's natural frequency might be 7 hertz or even hertz, however, the prevalent frequency on this planet is 60 hertz.

That is the frequency of alternating current. That frequency permeates everything. The devices you listen to music upon all operate on it. And yet, not only do we not hold this in high regard, we are told that being exposed to electrical fields at this 60 hertz is potentially damaging to our health.

Simply because a particular frequency is common or influential does not make it good. Down tuning against our common hz will always sound mysterious and foreign. It is a departure from our norm. Nothing holy or spiritual about it.

Your spirit is based on your thoughts and not the prevalent frequency around the human body. None of the claims about Hz. How do we know what the base frequency of Mozart's work was? Or any other great composer? Do we have a recording of their perfomance to examine?

I believe the great composers would have been disgusted to be subjected to such limitations about their work. Snap out of it. We might as well worship a car horn as believe in this. However, regarding Mozart, we do know what he tuned to because we have his tuning fork - and guess what - it was NOT Hz. Mozart's tuning fork measures at And another 'big surprise' Anything around Hz would have been rather high in Mozart's era and there is no record of it being a standard for anyone at that time and nearly never actually.

It should also be noted that there was no accurate way to measure frequency in Mozart's era. It is my guess that Mozart's tuning fork is the frequency it is simply because that is what he liked. Forgive me for not getting past your second argument, but since your first was entirely stupid and the second was based on the first, I simply extrapolated and decided to comment.

My point? Don't try to use logic to explain or dispell something by using faulty logic. The author of the article doesn't understand the difference and distinction between pitch and frequency. Not a good start. He doesn't understand any more than the advocates that humans or other fauna -can only discern pitch-, which can be evaluated as frequency by contrived means. His counter-arguments that "They didn't have seconds in those days! The couldn't measure frequency! So they couldn't have tuned to !

They could have tuned to any pitch, which might or might not have measured as Hz by modern instruments. Another hint to author; setting up your own cherry-picked weak and absurd "Hz cures cancer! You have to do better than that. It would also be helpful to add to the discussion that the whole A standard was brought about by brass instrument makers in the 19'th century who wanted their instruments to sound as bright as possible. There was nothing the least bit 'scientific' about this standard, either, so making all this hoo ha about how 'unscientific' the standard is is meaningless.

Unless one thinks that "I just want my trumpet to sound really bright and really loud! I personally don't care about the mathematical ratio arguments, myself, but my innate ability of absolute pitch has almost always had me feeling that things were just a tad too high-pitched, though it took some years for that to sink in.

I can't explain why that is. NASA has recorded B-flat emanating from Black holes and I have detected points where a tone generator at sub audible frequencies generates an interference pattern with background noise which disappears at 7.

A as Hz happens to exist exactly as the harmonic 3rd of this F frequency See my blog, HarmonicsOfNature. NASA has recorded what they loosely claim to be a "B-flat" extending away from one black hole, the Perseus.

The pressure waves are not emanating from the black hole but extending from around it, and they haven't been detected as sound but seen visually in gas clouds.. I've not seen anywhere where NASA gives the exact frequency quite possibly because they don't have an exact frequency , thus we have no idea of the "tuning".

Have you seen an exact number quoted anywhere? Additionally, looking at the visual evidence NASA provides, there isn't an even periodicity to the waves that would create a note. Further, the frequency of the sound wave is around 10 million years, though again, doesn't appear to be a constant frequency.

Therefore I'd take the "B-flat" idea with a huge grain of salt! I ask these questions: at what point is a pressure wave an actual "sound"? Does a pressure wave with a frequency of one cycle per 10 million years constitute a "sound"? Pressure waves become "sound" when there is a receptor and a processor brain to translate it into the experience of sound. Is a pressure wave a "sound" if no one and no thing can actually hear it?

There is no "sound" being transmitted through space in the sense that we understand sound being transmitted here on Earth. The near vacuum of space does not contain enough substance of random particles in order to transmit it.

Nice idea about the Bb, but NASA's own "pop science" articles are often click-bait-ish and misleading. I really wish their PR department would write them at a slightly higher intelligence level. Thanks Rich, your comments are all completely sensible but I only mention the NASA B-flat because it corroborates an individual finding I have made for which I have posted a video on the blog link I provided. This experience with a tone generator did find specific frequencies of 5. Julian, Listening to your video, it is only at I still hear it there at 5.

Also, if the beat was a difference tone between the tone generator note and another tone i. If it comes to halt, that is, in unison at There is a brief pause at In that moment the pulse I hear is much faster than 1 cycle per second. What exactly are we listening to? Is that oscillation sound coming out of the speaker on your phone? Are you saying that you believe the phone app tone generator is actually producing sub-audible frequency tones the app program may be creating it electronically but is the phone mechanics capable of actually producing it?

Obviously something is creating that oscillation but I'm not convinced it is what you think it is. Thank you for sharing your inquiry. Hi Rich - there are two sounds, and listening to the video on headphones helps discern them. Like tuning a guitar string to another guitar string, you hear an interference pattern that corresponds to how how out of tune one string is compared to another until they are precisely the same and that cycle of interference stops.

But with all these coincidences I am prone to believe that there is a harmonic series of ultra low frequencies that permeate existence and that with a low frequency generator we can produce an interference pattern which reveals them; and that before Equal Temperament and the hz arbitrary standard of today, others before us found a way to discern these frequencies and based their music and their philosophy upon them.

Of course, there could be other explanations, but the items above which I detail more at harmonicsofnature. I have made the switch to and I love it. I find it very relaxing on my vocals and my body in general. Try it and see for yourself! I believe it is a higher vibrational frequency. Hopping on to add my two cents to the conversation. Last year, while I was still in college, I was studying harp as my secondary instrument I had originally gone to school to study it as my primary, but that's a different story for another time and was invited to participate in my dear friend's sound healing lecture.

Because of my height or lack thereof I was accustomed to using the school harp that was the shortest, a Lyon and Healy semi grand made in the year His name is Samuel "Sam" Milligan haha.

He's the oldest harp at this university and not very well loved aside from myself and a couple other students through the years. I got permission to tune him down to Hz for the sound healing lecture, and had a very interesting experience. Now, I understand that this next statement cannot be backed up by science. It's kind of irrational. I get it. But Sam really does seem to have a bit of a personality, and his personality is that of a curmudgeon.

He's kind of stubborn, doesn't usually take well to changes in the environment or tuning. He's very old, so his best sound is behind him most concert harps will play out of their best sound after about fifteen years. But I could swear he was enjoying the heck out of being tuned down to !

His sound was beautiful that night, and in the weeks beforehand while I was trying to get him accustomed to being tuned down, he seemed to want me to tune him even lower than that! Once I started tuning him down to , he would go flat quite frequently as if he wanted to be tuned to Baroque standards or something, haha! I'm sure there's a rational explanation for that, but in the moment it almost seemed as if that little old harp was taking on a life of his own.

And he did sound lovely. If you'd like to listen to a 30 minute snip of the two hour long lecture the harp only features on one song but it is included , here's a link to my friend's YouTube channel and you can check it out.

KamiTheMusicBox, I wouldn't say it's irrational. In fact, if Sam the Harp is happier at a lower pitch it is entirely rational. It's simply that the resonance of that instrument is more in alignment with a lower tuning. It may have been made that way or it may be the effect of years of aging. I am certain however that it would have responded the same if you tuned it to or - there is no inherent "magic" in And further, as you said, it seems to prefer being tuned even lower.

Though its frequently going flat may have to do with slippage of the tuning pins. Just use your ears. Forget about the pitch reference and just tune it to where it sounds best to you - then check the tuning reference and you'll see what Sam likes best.

The only problem of course with such tuning is if one wishes to play with other instruments. As a person who only started studying music theory in 11th grade. Meaning that's about as far I got into studying music I ever got. But what I wanted to add was that I am also tone deaf, yet I still love music. Even if I am hearing it incorrectly.

This was proven time after time to me. When ever a friend came over my house and picked up my self tuned, using nothing but ear. They of course would say I am out of tune, though to me. It sounded perfectly fine. Since that is the way I am always hearing music in the first place.

I guess the point I am trying to get at is this. Or what ever way it is made? As long as it sounds good, and is pleasing to you and others? And as for saying before a certain time period, time wasn't measured in seconds? Who or what is to say those people didn't know this? I mean they built the freaking pyramids and how many other masterful pieces of art and architecture. Didn't they?

How did they manage that, when the wheel hadn't even been invented yet. Maybe they did have wheels, we just have never found one, Maybe they did count time by seconds, and never wrote about it? Saying is the perfect or magical number. That is what I was Googling, when I came across this article. What I had already read also mentioned as well as Which seems to me like with what someone else said.

Globalization, that number was forced on us, whether we wanted to accept it or not. I laugh lol when I say that, but it's more a nervous reaction I have in real life.

That I then turn into using lol to represent it online. Because from what I have read about Globalization is, originally the idea of it was the "raise up" the worlds poor. To the level of the average American workers pay level.

But they eventually realized that was going to take way too long to do and would also be way to expensive to do as well something someone else in this thread mentioned as the reason for settling on as the magical number. To that of the 3rd world countries. Virtually pennies. Because it's much less expensive to do it that way. Any way, I found in life over my 57 years alive, as with music?

Peace and Harmony. But because I love balance almost as much or even more then any of it? I have to have the ying with the yang.

Not one or the other. Too much of one and I feel off balance. It works in every facet of my life as well. Which is why I know for a fact, I developed mental illness, and the specific one I was diagnosed as having. BIpolar, lol. Again sounds kind of ridiculous I know, and what does this have anything to do with the original topic? I am more inclined naturally to go with what was originally the frequency or tone or what ever it is called. That does what people says it does to them. Yet also allows you to break free, beyond those bounds, if you choose to do so.

I never fit into this world, and the harder I chose to try and force myself to? My natural or "mental balance" got all screwed up. What if the music at actually does the same thing to people? And or does the opposite? I mean music is now every where, being used in movies, TV, commercials, elevators, phone systems. You name it. Yeah I know, warning bells for "conspiracy theory" are going off here right?

These comments are all fine and dandy but I prefer to see things if I can. Wikipedia from the beginning was an open source only recently has it been closed to scholars and professionals; therefore most of the the data is sqweed.

Furthermore do you really think the music industry wants people to know any sort of truth. No to the important part, has anyone here seen or done frequency experiments with music on water, sand, etc? Please look it up. Then please show us your evidence, that would help to support your position greatly, thank you.

If you like to see things for yourself, and as you've asked if anyone here has done frequency experiments - I'll ask you: have you done the experiments?

Cheap meme pictures comparing Cymatic images of to don't count. If you know anything about the process then you know such a comparison is false. If you know anything about frequency then you know those numbers have nothing to do with any sort of reality of sound waves. In other words, there is NOT of anything occuring in a Hz tone As far as Cymatic images are concerned, they are entirely dependent on the size and shape of the vibrating plate as well as the volume and mass of the vibrated substance water, sand etc You can make pretty images for , and any other frequency, just as you can for Likewise, you can make chaotic images for just as you can for This has nothing to do with "the music industry".

This has nothing to do with conspiracy. The only "conspiracy" is among those that seek to profit off of the delusion by selling " products". That conspiracy is real. In reply to the other post above, one should realize that and are not even in harmony with each other. You need to go with one or the other as your preferred mystical healing tone but not both at the same time.

But if you understand sound waves and what frequency measurements really are, then you know that the numbers are meaningless in the actual experience of sound and music.

In response to the comment below by Bautista: "All this numerology is nice, but there is something that you should take in count, the units. The only number that could in principle have some intrinsic importance are relations between quantities of the same units, since that would be a pure numbers and not a relationship between two distinct units, which will always be arbitrary" But the second is not arbitrary is was derived by the Babylonians.

See the link below: Why is a minute divided into 60 seconds, an hour into 60 minutes, yet there are only 24 hours in a day? Here's another fascinating resource that is required reading: Ernest G. Tuned down to the overall volume is decreased and sounds dead compared to However, an instrument designed to resonate at would be an interesting test! Someone mentioned that in the days of yore they used to design the instrument based upon the musician's voice which makes sense since the melody is based upon the human voice.

Ideally the tuning should be tail9ored to the singer, since melody is based upon the human voice. One other thing is that playing an instrument tuned to should sound different than one played at and the recording slowed down. Ultimately, the human ear becomes accustomed to the higher pitched tuning, and people seem to like it fine. They would probably like it better if the instruments were made to resonate at , but at this point it seems impractical, that is if you want to be able to easilyu play with others.

Dear cadgbd low C guitar tuning? Nowhere in that Scientific American article does it say that the Babylonians derived the 'second', and the reason for that is because they didn't. It wasn't until the Greeks many centuries later that a circle was divided into degrees and then further subdivisions of minutes and seconds were made - for geographical measurement, not for time measurement.

And in those eras, even when hours were being measured, the length of the hours were not the same throughout the year - shorter hours in winter, longer in summer, and changing every day - so even if there were 'seconds' of time being measured, which there wasn't or at least we have no knowledge or historical records of, they would not have been standardized.

It wasn't until around AD that the Persian mathemetician and scholar al-Biruni conceptually introduced to time measurement the idea of 'seconds', as well as 'thirds' and 'fourths', but a way to measure them was not developed to well over years later, and not scientifically accurate time measuring of seconds until the early 19th century.

Regardless of who and when, even if the Babylonians had created such accurate timekeeping it still would be man-made, would still be an arbitrary division, one with no foundation in nature. Bautista is correct in what he stated. In the reality of a sound wave there is not any numbered "frequency" associated with it. And also as he indicated or implied, the only "real numbers" are in the relationships between different waves For instance, a wave vibrating at a rate 1.

These relative rates and the harmonies they produce have nothing to do with time measurement or reference frequency.

I do agree with you about the issues with tuning instruments up or down and contemporary instruments being designed for optimal resonance at a Hz reference pitch. To tune our guitars down to we'd need a somewhat longer scale length to tune at that lower pitch yet maintain the same string tension.

Recently I tuned one of my stringed instruments down to and kept it that way for two days, playing it about a total of 4 or 5 hours over those two days. Never did it start sounding good to me! It's sound was noticeably and annoyingly dull and lethargic compared to it being tuned to I like the idea of instruments being designed to best support a singer's vocal range.

Great for solo artists, but yes, not so great if one wants to play with others. Here is a reference to the Babylonians. I posted the wrong one. There are millions of them, just use the internet.

Please read the book it is free before responding to the author. It only follows that human hearing evolved to hear frequencies as they occur in nature. Shouldn't be all that difficult to understand.

Nor should it be difficult to understand how our time system was derived by the ancients who observed the planetary cycles with astonishing accuracy. Here is another highly recommended fun to read book that will answer your questions: Harmonic Experience Book by W. There are hypersonic and subsonic waves and there are sound waves that are painful or uncomfortable to listen to, as some say about hz tuning.

Sure, the same ratios apply across the spectrum, but we are audiophiles interested in pleasing music, not arbitrary "sound waves". Bautista is right about the ratios, though, and that is why the human ear is able to adjust to the raised frequency. That's all I know about it. If you have any further questions read the two books mentioned above, use the internet, or ask a physics professor, because math is not my bag.

It's great that we agree on designing instruments for the benefit of the singer, but that would limit our ability to play with others. Maybe custom instruments for the entire band? It would drive the producer crazy! But then again, the melody is based on the human voice. The concert pitch is designed to enhance the sound of the piano in a classical concert.

Obviously a standard tuning pitch makes it easier to play with other musicians. It's too bad that they based the standard pitch upon what makes the concert piano sound better, rather than what's easier to sing and is more natural.

It just occurs to me, that in the book "Harmonic Experience" the author explains exactly why the pitch was raised to hz to make the concert piano sound better. I always thought, from my past readings, that hz was choosen to make the music more lively when played by an orchestra. I can tell you for sure that for me lower is better. Not all sax players like to play in Eb. I was playing in Eb for my voice back then, but had to go back in E to be able to play with others.

But I also hate vocal performers who push their voice too high and sound like crying instead of singing. I prefer a warm voice.