Dummy index
Joined 12 October 2021
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===memo=== | ===memo=== | ||
12EDO-complementary comma pairs (e.g. syntonic-schismatic relation) | 12EDO-complementary comma pairs (e.g. syntonic-schismatic relation) | ||
{| class="wikitable" | {| class="wikitable" | ||
! M3 | |||
! A: 4*P5=M3+2*P8 | |||
! B: 8*P5+M3=5*P8 | |||
! | ! | ||
|- | |- | ||
! | ! 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]] | |||
|- | |||
! 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]] | |||
|- | |||
! 8192/6561 | |||
| [[531441/524288]]={{monzo| -19 12 }} | |||
| 1/1 | |||
| | |||
|- | |||
! 5/4 | |||
| [[81/80]]={{monzo| -4 4 -1 }} | | [[81/80]]={{monzo| -4 4 -1 }} | ||
| [[32805/32768]]={{monzo| -15 8 1 }} | | [[32805/32768]]={{monzo| -15 8 1 }} | ||
| A*B={{monzo| -19 12 }}, A:[[Meantone]], B:[[Schismatic]] | | A*B={{monzo| -19 12 }}, A: [[Meantone]], B: [[Schismatic]] | ||
|- | |||
! 81/64 | |||
| 1/1 | |||
| [[531441/524288]]={{monzo| -19 12 }} | |||
| | |||
|- | |- | ||
! | ! 9/7 | ||
| [[64/63]]={{monzo| 6 -2 0 -1 }} | | [[64/63]]={{monzo| 6 -2 0 -1 }} | ||
| [[59049/57344]]={{monzo| -13 10 0 -1 }} | | [[59049/57344]]={{monzo| -13 10 0 -1 }} | ||
| B/A={{monzo| -19 12 }}, A:[[Archytas clan]], B:[[Septimal meantone]] | | B/A={{monzo| -19 12 }}, A: [[Archytas clan]], B: [[Septimal meantone]] | ||
|- | |- | ||
! | ! 4/3 | ||
| [[ | | [[256/243]]={{monzo| 8 -5 }} | ||
| [[ | | [[2187/2048]]={{monzo| -11 7 }} | ||
| A | | B/A={{monzo| -19 12 }}, A: (5edo), B: (7edo) | ||
|} | |} | ||
31EDO-complementary comma pairs (e.g. 11-limit meantone-meanpop relation) | 31EDO-complementary comma pairs (e.g. 11-limit meantone-meanpop relation) | ||