User:Hotcrystal0/Temperaments: Difference between revisions
Jump to navigation
Jump to search
Hotcrystal0 (talk | contribs) Created page with "This page is for hotcrystal0's temperament research. ==Rank-2== ==Rank-3== ===Unnamed 159 & 166 & 171=== Subgroup: 2.3.5.7 Comma list: 10763703445887/10737418240000 {{Mapping|legend=1| 1 0 0 | 1 1 0 | 3 1 -3 | 8 -6 -4 }} Optimal tunings: * WE: ~2 = 1200.057{{c}}, ~3/2 = 701.806{{c}}, ~20480/15309 = 505.209{{c}} : error map: {{val| +0.057 -0.093 +0.036 -0.040 }} * CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.777{{c}}, ~20480/15309 = 505.167{{c}} : e..." |
Hotcrystal0 (talk | contribs) No edit summary |
||
| Line 2: | Line 2: | ||
==Rank-2== | ==Rank-2== | ||
=== Tridecapyth === | |||
Tridecapyth equates a stack of twenty [[3/2]] octave-reduced with [[13/8]], or alternatively two [[pythagorean comma]]s with [[1053/1024]]. | |||
[[Subgroup]]: 2.3.13 | |||
[[Comma list]]: 3489660928/3486784401 | |||
{{Mapping|legend=2| [unfinished] | }} | |||
: mapping generators: ~2, ~3/2 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1199.978{{c}}, ~3/2 = 702.017{{c}} | |||
: [[error map]]: {{val| -0.022, +0.040, -0.011 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.028{{c}} | |||
: error map: {{val| 0.000, +0.073, +0.039 }} | |||
{{Optimal ET sequence|legend=1| 12, 29f, 41, 53, 94, 147, 494, 641, 788, 2217, 3005 }} | |||
[[Badness]] (Sintel): 0.211 | |||
==Rank-3== | ==Rank-3== | ||
Revision as of 12:34, 9 May 2026
This page is for hotcrystal0's temperament research.
Rank-2
Tridecapyth
Tridecapyth equates a stack of twenty 3/2 octave-reduced with 13/8, or alternatively two pythagorean commas with 1053/1024.
Subgroup: 2.3.13
Comma list: 3489660928/3486784401
Subgroup-val mapping: [⟨[unfinished]]]
- mapping generators: ~2, ~3/2
- WE: ~2 = 1199.978 ¢, ~3/2 = 702.017 ¢
- error map: ⟨-0.022, +0.040, -0.011]
- CWE: ~2 = 1200.0000 ¢, ~3/2 = 702.028 ¢
- error map: ⟨0.000, +0.073, +0.039]
Optimal ET sequence: 12, 29f, 41, 53, 94, 147, 494, 641, 788, 2217, 3005
Badness (Sintel): 0.211
Rank-3
Unnamed 159 & 166 & 171
Subgroup: 2.3.5.7
Comma list: 10763703445887/10737418240000
Mapping: [⟨1 0 0], ⟨1 1 0], ⟨3 1 -3], ⟨8 -6 -4]]
- WE: ~2 = 1200.057 ¢, ~3/2 = 701.806 ¢, ~20480/15309 = 505.209 ¢
- error map: ⟨+0.057 -0.093 +0.036 -0.040]
- CWE: ~2 = 1200.000 ¢, ~3/2 = 701.777 ¢, ~20480/15309 = 505.167 ¢
- error map: ⟨0.000 -0.178 -0.039 -0.155]
Optimal ET sequence: [to be finished]
Badness (Sintel): [to be finished]