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{{Special:Prefixindex|prefix=User:Dummy_index/|hideredirects=1|stripprefix=1}} | {{Special:Prefixindex|prefix=User:Dummy_index/|hideredirects=1|stripprefix=1}} | ||
===memo=== | |||
12EDO-complementary comma pairs (e.g. syntonic-schismatic relation) | |||
{| class="wikitable" | |||
! | |||
! 4*P5=M3 | |||
! 8*P5+M3=P1 | |||
! | |||
|- | |||
! M3=5/4 | |||
| [[81/80]]={{monzo| -4 4 -1 }} | |||
| [[32805/32768]]={{monzo| -15 8 1 }} | |||
| A*B={{monzo| -19 12 }}, A:[[Meantone]], B:[[Schismatic]] | |||
|- | |||
! M3=9/7 | |||
| [[64/63]]={{monzo| 6 -2 0 -1 }} | |||
| [[59049/57344]]={{monzo| -13 10 0 -1 }} | |||
| B/A={{monzo| -19 12 }}, A:[[Archytas clan]], B:[[Septimal meantone]] | |||
|- | |||
! M3=11/9 | |||
| [[729/704]]={{monzo| -6 6 0 0 -1 }} | |||
| [[8192/8019]]={{monzo| 13 -6 0 0 -1 }} | |||
| A/B={{monzo| -19 12 }}, A:???, B:[[Archytas clan #Supra]] | |||
|- | |||
! M3?=6/5 | |||
| [[135/128]]={{monzo| -7 3 1 }} | |||
| (64/63)^2*([[245/243]])={{monzo| 12 -9 1 }} | |||
| A/B={{monzo| -19 12 }}, A:[[Mavila]], B:[[Superpyth]] | |||
|} | |||
31EDO-complementary comma pairs (e.g. 11-limit meantone-meanpop relation) | |||
Revision as of 15:48, 22 October 2021
- 2-dimensional tuning spectrum
- 3rd-tritave temperaments
- About harmonics
- Bimetallic MOS
- Chromatic pairs and how we define haplotonic
- Heuristics for picking a nonstandard basis of JI subgroup
- Just odd intonation
- Layouts
- MOS tree with continued fraction
- No-1s odd-limit consistency
- Random lists of temperaments by generator size
- Related to 1729/1728
- SandBox
- Semitritave
memo
12EDO-complementary comma pairs (e.g. syntonic-schismatic relation)
| 4*P5=M3 | 8*P5+M3=P1 | ||
|---|---|---|---|
| M3=5/4 | 81/80=[-4 4 -1⟩ | 32805/32768=[-15 8 1⟩ | A*B=[-19 12⟩, A:Meantone, B:Schismatic |
| M3=9/7 | 64/63=[6 -2 0 -1⟩ | 59049/57344=[-13 10 0 -1⟩ | B/A=[-19 12⟩, A:Archytas clan, B:Septimal meantone |
| M3=11/9 | 729/704=[-6 6 0 0 -1⟩ | 8192/8019=[13 -6 0 0 -1⟩ | A/B=[-19 12⟩, A:???, B:Archytas clan #Supra |
| M3?=6/5 | 135/128=[-7 3 1⟩ | (64/63)^2*(245/243)=[12 -9 1⟩ | A/B=[-19 12⟩, A:Mavila, B:Superpyth |
31EDO-complementary comma pairs (e.g. 11-limit meantone-meanpop relation)