JI scales on the Harmonic Series
/2^n Scales of Interest
3-Limit
Pyth
Lydian-like: 9/8 81/64 729/512 3/2 27/16 243/128 2/1
5-Limit
Zarlino
Lydian-like: 9/8 5/4 45/32 3/2 27/16 15/8 2/1
Chromatic version: 135/128 9/8 75/64 5/4 675/512 45/32 3/2 25/16 27/16 225/128 15/8 2/1 (aka Duodene in the maximally otonal frame)
7-Limit
Marveldene Family
Mixolydian-like: 9/8 5/4 21/16 3/2 27/16 7/4 2/1
Lydian-like: see Zarlino
Locrian-like: 135/125 75/64 21/16 45/32 25/16 7/4 2/1
Chromatic version: 135/128 9/8 75/64 5/4 21/16 45/32 3/2 25/16 27/16 7/4 15/8 2/1 (aka a Marveldene detempering)
Zil Family
Unknown hexatonic: 35/32 5/4 175/128 25/16 7/4 2/1
Chromatic Extension (3/2 offset): 525/512 35/32 75/64 5/4 21/16 175/128 3/2 25/16 105/64 7/4 15/8 2/1
- Offsetting this scale by 9/8 yields zil[24]
Unknown mode: 35/32 5/4 21/16 3/2 105/64 7/4 2/1