To give an example, this it of course not true:
reply> Only a limited set of frequencies is used in music. All these frequencies (that exist in music) can be played by a piano.
Yeah, I think a good discussion on music theory is starting from first principles, explaining Pythagorean tuning, then explaining 5-limit just intonation, the explaining we compromised on 12-tone equal temperament because it made tuning and changing keys a lot simpler, at the expenses of some notes being slightly out of tune (e.g. the minor and major thirds deviate by about 15 cents from their 5-limit just intonated “ideal” tunings).
replyYou're saying its not possible to tune a piano to an arbitrary set of 88 pitches?
replyOf course you can, but that's not what's implied by the quote.
replyIn addition to microtonality, many instruments (and the human voice) are capable of infinite tuning, and musicians will deviate from the "correct" note (as played by an even-tempered instrument) based on chord structure, voice leading, etc.
Also quarter step bends in guitar and vibrato in general.
replyThat's clearly not what was meant, even without the context of this following bit:
reply> To describe tones that exist in music, we can describe tones that exist on a piano. There are only two rules:
> the first key must play a tone of 27.5 Hz each next key must play a tone 6% higher than the previous key
(This is not to mention that at a 1.06x increase per half step you're going to be sharp by 1 cent / octave which starts to add up).
there are absolutely pitches that an arbitrary piano cannot be tuned to.
it is also non-trivial to tune a piano.
replyhttps://www.modartt.com/pianoteq_overview :) Very high quality and affordable software modeled piano. It is rather easy to tune via Scala KBD formatted files.
replyNot a piano, and not relevant to the parent remark.
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