Where can one find what frequencies the supporting notes for a particular scale are, for say A = 440? Been thinking about it and finally remembered to ask.
Start at your base note (e.g., A=440.0,) and each half step you go up, multiply by the 12th root of 2. For each half step you go down, divide by the 12th root of 2.
So, if instead you tune A=444, the d above that would be 444.0*2^(5/12), or 592.668895 Hz.
Caj
“… this as a first approximation, Captain.
— Thank you, Mr Spock.” ![]()
Second approximation: 592.668895251…
You would never forget the Pythagorean Comma, now would you? ![]()
http://jubileeinstruments.messianic-webhosting.com/notetbl.htm
You can roughly calculate the next tone higher of each note by multiply frequency by 1.059463
Example A : 440 * 1.059463 = Bb: 466.164
According to Steve’s hyperlinked table, D is 587.3
My table is: 587.3295515
Equal Temperment is 440 * 1.059463 * 1.059463 * 1.059463 * 1.059463 * 1.059463 = 587.3292743
Where did you guys get 592.668895…? Excel comes up with 587.32953583
using the previously mentioned formula. All other website show around 587.329…
“And FruitcakeWorks comes with 587,32955147, but using factor 1,0594631.
Hmm… Mr Spock?
I let it go when you first-approximatism lost the Grapefruit satellite.
Now your attempt to tweak this Ressikan flute makes it unrecoverably sharp.
Sorry but I’ll ask you to resign your comission. Please leave your seat to Mr XL until and if you heal…”
maple gives
587.3295358348151205255660277211592209 …
want more ![]()
Easy :
586,666666666666666666666666666666666666666666666666666666(ad lib)…
in just temper, of course ![]()
Personally, I think one decimal place would be more than adequate to properly tune an instrument.
But hey, who am I?
That was using A=444, not 440: 444*2^(5/12)=592.668895…
The above calculation was based on 444 not 440. That’s how they got 592.
Ron
You beat me to it Ridseard
Ron
Database for musical frequencies(click on the brown “keypads” at this site for specific scales etc.)
http://hyperphysics.phy-astr.gsu.edu/hbase/music/tempercn.html
MIDI concert frequency table