16 tones scale, 2nd attempt

[tetraf]

Beautiful!

What ratios you use for this scale?

[juaneco1980]

@tetraf I use just intonation. Just divide the distance between an octave by 16.

[tetraf]

@juaneco1980 Yes. But I wish to know which degrees you have chosen, i.e. 1 - 35/32 - 9/8 - 8/7 , etc...

[juaneco1980]

@tetraf I think that would be, lets say A4 is 440 Hz and A5 is 880 Hz, then the 15 notes in between (excluding A4 and A5) would be:

440 + (1/16 x 440)

440 + (2/16 x 440)

440 + (3/16 x 440)

...

440 + (15/16 x 440)

A4 would be 440 = 440 + (0/16 x 440) and A5 would be 880 = 440 + (16/16 x 440). That's it. I guess to put it your way this would be 1/16, 2/16, 3/16. etc. As plain and simple as it can be ;).

[tetraf]

@juaneco1980 Ah! Now it's clear, thank you!

I asked you because wish to reproduce the scale in .scl format.

If I'm not wrong, that's is one of my favourite scale that I've already used!

Practically, is the harmonic series from 17 to 32. the just ratios here can be written:

17/16 - 9/8 - 19/16 - 5/4 - 21/16 - 11/8 - 23/16 - 3/2 -

25/16 - 13/8 - 27/16 - 7/4 - 29/16 - 15/8 - 31/16 - 2/1

[Amadues90]

@juaneco1980 nope It´s abit more tricky then that :( It´s the 16th root of 2 (which is 1,04427), to the power of 0, 1, 2, 3 etc, times 440. First note is 440, second is 459,48, 3d is 479,82, 4th is 501,06 .... lazy ... 14th is 806,96, 15th is 842,69 and finally 16th which ofc is 880.