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Wouldn't you need to use the Amazing Speeder Upper in this case?I use Amazing Slow Downer to tune recordings to my bass in cases like this.
Looking for stuff to work on in isolation, I found a copy of Simandl 30 Etudes with piano accompaniment. I tuned up as usual, skipping the tuning notes on the CD. I was going out of my mind trying to play in tune until (D'OH) it occurred to me to check the pitch with the strobe tuner app on my phone. To my surprise, the piano is tuned to A=437. I retuned the bass, and all is well, but I wonder why MMO did this, especially without any indication of non-440 anywhere in the book.
Not really. Hz is a linear scale, cents is logarithmic, so you can't really calculate it like that.(The math is easy here because Ab is 415 at A=440, so it's 25 Hz (440-415) for 100 cents. Each 1 Hz is 4 cents.)
It's really close enough.Not really.
Hz is a linear scale, cents is logarithmic, so you can't really calculate it like that.
For example the interval between 1Hz and 2Hz is 1Hz (2-1=1), but as a musical interval it is an octave (1200 cents).
But for your calculation, the correct math wouldn't change the result too much.
We cool. No offense from my side.It's really close enough.
I get all that. We're talking A=440 and A=437 and Ab = 415, and what I said is plenty close enough. Ab is 415.3 Hz if you want to be pickier about it but that doesn't change what we're talking about any more than talking about logarithms does.
Like you said and like I said, what I said was really close enough.
When I said, "here" in "The math is easy _here_ because Ab is 415 at A=440, so it's 25 Hz (440-415) for 100 cents. Each 1 Hz is 4 cents," "here" meant at this level of pitch, at A=440 and Ab = 415. At other pitch levels, it changes, e.g., an octave lower, it's 12.5 Hz between A and Ab, so each 1 Hz is 8 cents, and an octave higher, it's 50 cents between A and Ab so each 1 Hz is 2 cents, and so on, and so on. The math is less easy when the number of Hz difference (between two pitches that are a half-step apart) can't be divided evenly into 100 (because cents are 1/100th of a half-step).
And none of these, except around A=440, are precisely accurate, anyway. If you check the pitch on most pianos, each octave is stretched - made larger than a doubling or halving of frequency - due primarily to something called inharmonicity. It's quite common for the top and bottom notes of an 88-key piano to be 10 cents sharper or flatter, respectively, than "up an octave is double the frequency" would suggest. The smaller/shorter/cheaper the piano, the more the inharmonicity. So maybe that Ab is really 415.0 and not 415.3 after all ... I've tuned console pianos where I gave up even noticing how flat the bass notes where when I got to them being 20 cents flat.
So, like we're both saying, the math I did is more than close enough for the purposes of this discussion. It's as easy rolling off a logarithm.
We cool?
-S-
I love that app. The speed function is brilliant for creating something at the right speed for a student to practice with.I use Amazing Slow Downer to tune recordings to my bass in cases like this.
In that spot in the frequency range, the math is easy and 2+2 does give the same result as 2*2. I apologize for over-simplifying and not saying I was over-simplifying. I was trying to help make a connection between 437 Hz and the cents that show on many tuning apps.I just found it strange, that you said, the math is easy and then did a totally wrong calculation. Like saying multiplication was the same as addition because 2+2=2*2