Ennealimmal & co

2^38 3^-2 5^-15 Parameantone

Map:

[ 0 1]
[-15 4]
[ 2 2]

Generators: a = 71.00086/441 = 193.1996 cents (meantone); b = 1

badness: 138
rms: .0608
g: 13.14
errors: [.0508, .0855, .0347]

2^-16 3^35 5^-17 Minor Whole Tone (10/9)^17 ~ 6

Map:

[ 0 1]
[17 -1]
[35 -3]

Generators: a = 26.00142/171 = 182.4661 cents (~10/9); b = 1

badness: 386
rms: .02547
g: 24.75
errors: [-.03149, -.00059, .03089]

2 3^-27 5^18 Ennealimmal (27/25)^9 ~ 2

Map:

[ 0 9]
[-2 19]
[-3 28]

Generators: a = 160.9945/612 = 315.6755 cents (~6/5); b = 1/9 =
133.3333 cents

badness: 188
rms .0256
g: 19.44
errors: [.0274, -.0068, -.0342]

2^91 3^-12 5^-31 Limmal

Generators: a = 12.999127/118 = 132.1945 cents (~27/25); b = 1

badness: 463
rms: .0150
g: 31.38
errors: [.0152, .0204, .0052]

--- In tuning-math@y..., "genewardsmith" <genewardsmith@j...> wrote:

> 2^91 3^-12 5^-31 Limmal

I left off the map:

[ 0 1]
[-31 5]
[-3 1]

> Generators: a = 12.999127/118 = 132.1945 cents (~27/25); b = 1
>
> badness: 463
> rms: .0150
> g: 31.38
> errors: [.0152, .0204, .0052]