16EDO

take an octave and cut it into 16 notes, this is 16EDO or 16TET

In Shasavic Theory by LampLight, the desired target octave clamped factors are as follows :

here is a video from LampLight explaining Shasavic Music if you are completely new to this :

I made a tool to measure how "good" an EDO/TET is, the lower the distance, the "better" it is

assume that the desired target octave clamped factors are 1.5, 1.25, 1.75, 1.375, 1.625, the the following screenshot is the result :

yes ... sort of ...

the Major scale is heavily derived from 12EDO.

if we use Math, we can have the following :

2^(p/12) = 2^(P/16)

p/12 = P/16

p / 12 x 16 = P

where p (smol one) is the note we want in 12EDO

where P (beeg one) is the note we need in 16EDO

here we can try all p = 0,1,2,...,11

but we can also limit p to be the MajorScale notes (0,2,4,5,7,9,B)

note : here, for numbers between 9 < x < 16, I will be using ABCDEF where A=10

I also tried to play the Scale by ear

below is the comparison between 12EDO, 16EDO-math, 16EDO-ear

Pitch Number in 12EDO	Octave Clamped Factor in 12EDO	Pitch Number in 16EDO-math	Octave Clamped Factor in 16EDO-math	Pitch Number in 16EDO-ear	Octave Clamped Factor in 16EDO-ear
0	1	0	1	0	1
2	1.1225...	3	1.1388...	3	1.1388...
4	1.2599...	5	1.2419...	5	1.2419...
5	1.3348...	7	1.3543...	6	1.2968
7	1.4983...	9	1.4768...	9	1.4768
9	1.6818...	C	1.6818...	C	1.6818...
B	1.8877...	F	1.9152...	E	1.8340...
C	2	X	2	0	2