Generator sequence: Difference between revisions

Frostburn (talk | contribs)
Fix Zarlino sizes: 135/128 subtends 2 and 1 in 24; 3 and 4 in 41; 5 and 6 in 65. See https://gist.github.com/frostburn/38e49973d7d6230934055f3764a0b847 for the verification script. Add more sizes to others.
Inthar (talk | contribs)
Line 30: Line 30:
Only CS sizes at least 5 are listed. Todo: check for larger CS sizes.
Only CS sizes at least 5 are listed. Todo: check for larger CS sizes.
* The Zarlino series, GS(5/4, 6/5) = GS(4:5:6): 7, 10, 17, 34, 58, 82
* The Zarlino series, GS(5/4, 6/5) = GS(4:5:6): 7, 10, 17, 34, 58, 82
** Other scales with the same GS structure of two thirds adding up to 3/2 share the same CS sizes, including undecimal Zarlino (GS(11/9, 27/22)), and Neogothic Zarlino (GS(14/11, 13/11) with [[364/363]] tempered), although the latter may break at higher sizes depending on how the intervals are tuned.
* The Tas/[[diasem]] series, GS(6:7:8): 5, 9, 14, 19, 24, 29, 53
* The Tas/[[diasem]] series, GS(6:7:8): 5, 9, 14, 19, 24, 29, 53
* GS(3/2, 14/9): 5, 8, 13, 18, 31, 49, 67, 85
* GS(3/2, 14/9): 5, 8, 13, 18, 31, 49, 67, 85