Pentacircle clan: Difference between revisions

Tristanbay (talk | contribs)
Pentafrost: Replaced schisma with simpler ratio in comma list
Tags: Mobile edit Mobile web edit
Tristanbay (talk | contribs)
Pentafrost: Added 13-limit pentafrost, corrected optimal tuning generator ratio(s)
Tags: Mobile edit Mobile web edit
Line 309: Line 309:


Optimal tunings:
Optimal tunings:
* CTE: ~2 = 1\1, ~3 = 1901.883, ~7/4 = 3364.864
* CTE: 2 = 1\1, ~3 = 1901.883, ~7 = 3364.864
* CWE: ~2 = 1\1, ~3 = 1901.903, ~7/4 = 3364.614
* CWE: 2 = 1\1, ~3 = 1901.903, ~7 = 3364.614
* CE: ~2 = 1\1, ~3 = 1902.006, ~7/4 = 3364.085
* CE: 2 = 1\1, ~3 = 1902.006, ~7 = 3364.085
 
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: [[245/242]], [[105/104]], [[352/351]]
 
Mapping: {{mapping| 1 0 15 0 7 12 | 0 1 -8 0 -4 -7 | 0 0 0 1 1 1 }}
 
: mapping generators: 2, ~3, ~7
 
Optimal tunings:
* CTE: 2 = 1\1, ~3 = 1902.106, ~7 = 3362.655
* CWE: 2 = 1\1, ~3 = 1902.145, ~7 = 3362.175
* CE: 2 = 1\1, ~3 = 1902.360, ~7 = 3362.210