331edo: Difference between revisions

Review (1/2)
Regular temperament properties: review (2/2): adopt subgroup temperament measures
Line 32: Line 32:
|-
|-
| 2.9.15
| 2.9.15
| {{monzo| -7 17 -12 }}, {{monzo| -74 -5 23 }}
| {{monzo| -7 17 -12 }}, {{monzo| -81 12 11 }}
| {{mapping| 331 1049 1293 }}
| {{mapping| 331 1049 1293 }}
| 0.1494
| +0.1238
| 0.1152
| 0.1168
| 3.18
| 3.22
|-
|-
| 2.9.15.7
| 2.9.15.7
| 65625/65536, 420175/419904, 80387359983/80000000000
| 65625/65536, 420175/419904, 80387359983/80000000000
| {{mapping| 331 1049 1293 929 }}
| {{mapping| 331 1049 1293 929 }}
| 0.1878
| +0.1685
| 0.1199
| 0.1275
| 3.31
| 3.52
|-
|-
| 2.9.15.7.11
| 2.9.15.7.11
| 9801/9800, 41503/41472, 137781/137500, 759375/758912
| 9801/9800, 41503/41472, 137781/137500, 759375/758912
| {{mapping| 331 1049 1293 929 1145 }}
| {{mapping| 331 1049 1293 929 1145 }}
| 0.1653
| +0.1499
| 0.1163
| 0.1200
| 3.21
| 3.31
|-
|-
| 2.9.15.7.11.13
| 2.9.15.7.11.13
| 729/728, 1575/1573, 10648/10647, 41503/41472, 43904/43875, 53361/53248, 20336647/2028000
| 729/728, 1575/1573, 10648/10647, 41503/41472, 43904/43875
| {{mapping| 331 1049 1293 929 1145 1225 }}
| {{mapping| 331 1049 1293 929 1145 1225 }}
| 0.1125
| +0.0997
| 0.1587
| 0.1568
| 4.38
| 4.33
|-
|-
| 2.9.15.7.11.13.17
| 2.9.15.7.11.13.17
| 729/728, 833/832, 1089/1088, 2025/2023, 10648/10647, 14161/14157, 14175/14144, 43904/43875, 18816/18785, 92823/95744
| 729/728, 833/832, 1089/1088, 2025/2023, 10648/10647, 18816/18785
| {{mapping| 331 1049 1293 929 1145 1225 1353 }}
| {{mapping| 331 1049 1293 929 1145 1225 1353 }}
| 0.0901
| +0.0791
| 0.1568
| 0.1537
| 4.33
| 4.24
|}
|}


Line 75: Line 75:
! Associated<br>Ratio*
! Associated<br>Ratio*
! Temperaments
! Temperaments
|-
| 1
| 89\331
| 322.66
| 6/5
| [[Magicaltet]]
|-
|-
| 1
| 1
Line 86: Line 80:
| 387.92
| 387.92
| 5/4
| 5/4
| [[Würschmidt]]
| [[Würschmidt]] (331, 5-limit)
|-
| 1
| 137\331
| 496.68
| 5457/4096
| [[Edson]]
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct


== Scales ==
== Scales ==