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Septiennealimmal clan: Difference between revisions

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Cleanup (4/4)
Line 73: Line 73:
{{Optimal ET sequence|legend=1| 27, 45, 72, 99, 171, 441, 612 }}
{{Optimal ET sequence|legend=1| 27, 45, 72, 99, 171, 441, 612 }}


[[Badness]]: 0.003610
[[Badness]] (Smith): 0.003610


=== 11-limit ===
=== 11-limit ===
Line 89: Line 89:
{{Optimal ET sequence|legend=0| 99e, 171e, 270, 909, 1179, 1449c, 1719c }}
{{Optimal ET sequence|legend=0| 99e, 171e, 270, 909, 1179, 1449c, 1719c }}


Badness: 0.027332
Badness (Smith): 0.027332


==== 13-limit ====
==== 13-limit ====
Line 103: Line 103:
{{Optimal ET sequence|legend=0| 99e, 171e, 270 }}
{{Optimal ET sequence|legend=0| 99e, 171e, 270 }}


Badness: 0.029404
Badness (Smith): 0.029404


===== 17-limit =====
===== 17-limit =====
Line 141: Line 141:
{{Optimal ET sequence|legend=0| 99ef, 171ef, 270, 639, 909, 1179, 2088bce }}
{{Optimal ET sequence|legend=0| 99ef, 171ef, 270, 639, 909, 1179, 2088bce }}


Badness: 0.022068
Badness (Smith): 0.022068


=== Ennealimmia ===
=== Ennealimmia ===
Line 157: Line 157:
{{Optimal ET sequence|legend=0| 99, 171, 270, 711, 981, 1251, 2232e }}
{{Optimal ET sequence|legend=0| 99, 171, 270, 711, 981, 1251, 2232e }}


Badness: 0.026463
Badness (Smith): 0.026463


==== 13-limit ====
==== 13-limit ====
Line 171: Line 171:
{{Optimal ET sequence|legend=0| 99, 171, 270, 711, 981, 1692e, 2673e }}
{{Optimal ET sequence|legend=0| 99, 171, 270, 711, 981, 1692e, 2673e }}


Badness: 0.016607
Badness (Smith): 0.016607


===== 17-limit =====
===== 17-limit =====
Line 214: Line 214:
{{Optimal ET sequence|legend=0| 72, 171, 243 }}
{{Optimal ET sequence|legend=0| 72, 171, 243 }}


Badness: 0.020347
Badness (Smith): 0.020347


See also: [[Chords of ennealimnic]]
See also: [[Chords of ennealimnic]]
Line 234: Line 234:
{{Optimal ET sequence|legend=0| 72, 171, 243 }}
{{Optimal ET sequence|legend=0| 72, 171, 243 }}


Badness: 0.023250
Badness (Smith): 0.023250


===== 17-limit =====
===== 17-limit =====
Line 252: Line 252:
{{Optimal ET sequence|legend=0| 72, 171, 243 }}
{{Optimal ET sequence|legend=0| 72, 171, 243 }}


Badness: 0.014602
Badness (Smith): 0.014602


===== 19-limit =====
===== 19-limit =====
Line 275: Line 275:
{{Optimal ET sequence|legend=0| 27e, 45ef, 72 }}
{{Optimal ET sequence|legend=0| 27e, 45ef, 72 }}


Badness: 0.020697
Badness (Smith): 0.020697


===== 17-limit =====
===== 17-limit =====
Line 313: Line 313:
{{Optimal ET sequence|legend=0| 27, 45, 72, 171e, 243e, 315e }}
{{Optimal ET sequence|legend=0| 27, 45, 72, 171e, 243e, 315e }}


Badness: 0.031123
Badness (Smith): 0.031123


==== 13-limit ====
==== 13-limit ====
Line 327: Line 327:
{{Optimal ET sequence|legend=0| 27, 45f, 72, 171ef, 243eff }}
{{Optimal ET sequence|legend=0| 27, 45f, 72, 171ef, 243eff }}


Badness: 0.030325
Badness (Smith): 0.030325


===== 17-limit =====
===== 17-limit =====
Line 375: Line 375:
{{Optimal ET sequence|legend=0| 72, 198, 270, 342, 612, 954, 1566 }}
{{Optimal ET sequence|legend=0| 72, 198, 270, 342, 612, 954, 1566 }}


Badness: 0.006283
Badness (Smith): 0.006283


==== 13-limit ====
==== 13-limit ====
Line 395: Line 395:
{{Optimal ET sequence|legend=0| 72, 198, 270 }}
{{Optimal ET sequence|legend=0| 72, 198, 270 }}


Badness: 0.012505
Badness (Smith): 0.012505


===== 17-limit =====
===== 17-limit =====
Line 435: Line 435:
{{Optimal ET sequence|legend=0| 126, 144, 270, 684, 954 }}
{{Optimal ET sequence|legend=0| 126, 144, 270, 684, 954 }}


Badness: 0.013104
Badness (Smith): 0.013104


===== 17-limit =====
===== 17-limit =====
Line 451: Line 451:
{{Optimal ET sequence|legend=0| 270, 684, 954 }}
{{Optimal ET sequence|legend=0| 270, 684, 954 }}


Badness: 0.013104
Badness (Smith): 0.013104


===== 19-limit =====
===== 19-limit =====
Line 467: Line 467:
{{Optimal ET sequence|legend=0| 270, 684h, 954h, 1224 }}
{{Optimal ET sequence|legend=0| 270, 684h, 954h, 1224 }}


Badness: 0.013104
Badness (Smith): 0.013104


=== Semiennealimmal ===
=== Semiennealimmal ===
Line 485: Line 485:
{{Optimal ET sequence|legend=0| 72, 369, 441 }}
{{Optimal ET sequence|legend=0| 72, 369, 441 }}


Badness: 0.034196
Badness (Smith): 0.034196


==== 13-limit ====
==== 13-limit ====
Line 499: Line 499:
{{Optimal ET sequence|legend=0| 72, 297ef, 369f, 441 }}
{{Optimal ET sequence|legend=0| 72, 297ef, 369f, 441 }}


Badness: 0.026122
Badness (Smith): 0.026122


=== Quadraennealimmal ===
=== Quadraennealimmal ===
Line 515: Line 515:
{{Optimal ET sequence|legend=0| 342, 1053, 1395, 1737, 4869dd, 6606cdd }}
{{Optimal ET sequence|legend=0| 342, 1053, 1395, 1737, 4869dd, 6606cdd }}


Badness: 0.021320
Badness (Smith): 0.021320


=== Trinealimmal ===
=== Trinealimmal ===
Line 531: Line 531:
{{Optimal ET sequence|legend=0| 27, 243, 270, 783, 1053, 1323 }}
{{Optimal ET sequence|legend=0| 27, 243, 270, 783, 1053, 1323 }}


Badness: 0.029812
Badness (Smith): 0.029812


=== Rhodium ===
=== Rhodium ===
Line 552: Line 552:
{{Optimal ET sequence|legend=0| 45, 225c, 270, 1125, 1395, 1665, 5265d }}
{{Optimal ET sequence|legend=0| 45, 225c, 270, 1125, 1395, 1665, 5265d }}


Badness: 0.0381
Badness (Smith): 0.0381


==== 13-limit ====
==== 13-limit ====
Line 567: Line 567:
{{Optimal ET sequence|legend=0| 45, 270, 855, 1125, 1395, 1665, 3060d, 4725df }}
{{Optimal ET sequence|legend=0| 45, 270, 855, 1125, 1395, 1665, 3060d, 4725df }}


Badness: 0.0226
Badness (Smith): 0.0226


=== Undecentic ===
== Undecentic ==
Undecentic ({{nowrap| 99 & 198 }}) has a period of 1/99 octave.
Undecentic ({{nowrap| 99 & 198 }}) has a period of 1/99 octave.


Line 583: Line 583:
{{Optimal ET sequence|legend=1| 99e, 198, 297e, 495ce }}
{{Optimal ET sequence|legend=1| 99e, 198, 297e, 495ce }}


[[Badness]]: 0.058801
[[Badness]] (Smith): 0.058801


==== 13-limit ====
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 597: Line 597:
{{Optimal ET sequence|legend=0| 99ef, 198 }}
{{Optimal ET sequence|legend=0| 99ef, 198 }}


Badness: 0.042547
Badness (Smith): 0.042547


=== Schisennealimmal ===
== Schisennealimmal ==
Schisennealimmal ({{norap| 171 & 342 }}) has a period of 1/171 octave. [[171edo]] and its multiples are members of both [[schismatic family|schismic]] and ennealimmal, and from this it derives its name.
Schisennealimmal ({{nowrap| 171 & 342 }}) has a period of 1/171 octave. [[171edo]] and its multiples are members of both [[schismatic family|schismic]] and ennealimmal, and from this it derives its name.


[[Subgroup]]: 2.3.5.7.11
[[Subgroup]]: 2.3.5.7.11
Line 613: Line 613:
{{Optimal ET sequence|legend=1| 171, 342 }}
{{Optimal ET sequence|legend=1| 171, 342 }}


[[Badness]]: 0.031739
[[Badness]] (Smith): 0.031739


==== 13-limit ====
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 627: Line 627:
{{Optimal ET sequence|legend=0| 171, 342, 855ff, 1197fff }}
{{Optimal ET sequence|legend=0| 171, 342, 855ff, 1197fff }}


Badness: 0.054029
Badness (Smith): 0.054029


===== 17-limit =====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Line 641: Line 641:
{{Optimal ET sequence|legend=0| 171, 342, 855ff, 1197fff }}
{{Optimal ET sequence|legend=0| 171, 342, 855ff, 1197fff }}


Badness: 0.031323
Badness (Smith): 0.031323


==== Schisennealimmic ====
=== Schisennealimmic ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 655: Line 655:
{{Optimal ET sequence|legend=1| 171, 342f, 513, 855f }}
{{Optimal ET sequence|legend=1| 171, 342f, 513, 855f }}


Badness: 0.046843
Badness (Smith): 0.046843


===== 17-limit =====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Line 669: Line 669:
{{Optimal ET sequence|legend=0| 171, 342f, 513, 855f }}
{{Optimal ET sequence|legend=0| 171, 342f, 513, 855f }}


Badness: 0.030622
Badness (Smith): 0.030622


=== Lunennealimmal ===
== Lunennealimmal ==
Lunennealimmal ({{nowrap| 441 & 882 }}) has has a period of 1/441 octave. [[441edo]] and its multiples are members of both [[luna family|luna]] and ennealimmal, and from this it derives its name.
Lunennealimmal ({{nowrap| 441 & 882 }}) has has a period of 1/441 octave. [[441edo]] and its multiples are members of both [[luna family|luna]] and ennealimmal, and from this it derives its name.


Line 685: Line 685:
{{Optimal ET sequence|legend=1| 441, 882, 1323, 2205, 3528 }}
{{Optimal ET sequence|legend=1| 441, 882, 1323, 2205, 3528 }}


[[Badness]]: 0.091939
[[Badness]] (Smith): 0.091939


==== 13-limit ====
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 699: Line 699:
{{Optimal ET sequence|legend=0| 441, 882, 1323, 3528f, 4851ff, 6174dff }}
{{Optimal ET sequence|legend=0| 441, 882, 1323, 3528f, 4851ff, 6174dff }}


Badness: 0.042975
Badness (Smith): 0.042975


==== 17-limit ====
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Line 713: Line 713:
{{Optimal ET sequence|legend=0| 441, 882, 1323, 2205f, 3528f }}
{{Optimal ET sequence|legend=0| 441, 882, 1323, 2205f, 3528f }}


Badness: 0.029334
Badness (Smith): 0.029334


[[Category:Temperament clans]]
[[Category:Temperament clans]]
Retrieved from "https://en.xen.wiki/w/Septiennealimmal_clan"