80edo: Difference between revisions

ArrowHead294 (talk | contribs)
Godtone (talk | contribs)
Intervals: add more consistent intervals of the no-31's 37-limit (adds 37 to interpretation due to relevance in MCJI harmonies)
Line 31: Line 31:
| 1
| 1
| 15
| 15
| ''[[64/63]]''
| ''[[64/63]]'', [[126/125]], [[99/98]], [[100/99]], [[121/120]], [[91/90]], [[144/143]], [[85/84]], [[120/119]], [[96/95]], [[92/91]], [[115/114]]
|-
|-
| 2
| 2
| 30
| 30
| ''[[81/80]]'', [[50/49]]
| ''[[81/80]]'', [[50/49]], [[55/54]], [[56/55]], [[65/64]], [[66/65]], [[51/50]], [[52/51]], [[57/56]], ''[[46/45]]'', [[69/68]], [[70/69]], [[58/57]]
|-
|-
| 3
| 3
| 45
| 45
| [[36/35]], ''[[49/48]]'', [[34/33]]
| [[36/35]], ''[[49/48]]'', [[45/44]], [[40/39]], [[39/38]], [[34/33]], [[37/36]], [[38/37]]
|-
|-
| 4
| 4
Line 51: Line 51:
| 6
| 6
| 90
| 90
| [[21/20]], [[19/18]], [[20/19]]
| [[21/20]], [[19/18]], [[20/19]], [[39/37]]
|-
|-
| 7
| 7
Line 63: Line 63:
| 9
| 9
| 135
| 135
| [[27/25]], [[13/12]], [[14/13]]
| [[27/25]], [[13/12]], [[14/13]], [[40/37]]
|-
|-
| 10
| 10
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| 12
| 12
| 180
| 180
| [[10/9]], [[21/19]]
| [[10/9]], [[21/19]], [[51/46]]
|-
|-
| 13
| 13
Line 83: Line 83:
| 14
| 14
| 210
| 210
| [[9/8]], [[17/15]], [[26/23]]
| [[9/8]], [[44/39]], [[17/15]], [[26/23]]
|-
|-
| 15
| 15
| 225
| 225
| [[8/7]]
| [[8/7]], [[25/22]], [[33/29]]
|-
|-
| 16
| 16
| 240
| 240
| [[23/20]]
| [[23/20]], [[85/74]]
|-
|-
| 17
| 17
| 255
| 255
| [[81/70]], [[15/13]], [[22/19]], [[29/25]]
| [[81/70]], [[15/13]], [[51/40]], [[22/19]], [[29/25]], [[37/32]]
|-
|-
| 18
| 18
| 270
| 270
| [[7/6]]
| [[7/6]], [[76/65]]
|-
|-
| 19
| 19
| 285
| 285
| [[13/11]], [[20/17]]
| [[13/11]], [[33/28]], [[20/17]]
|-
|-
| 20
| 20
| 300
| 300
| [[25/21]], [[19/16]]
| [[25/21]], [[19/16]], [[44/37]]
|-
|-
| 21
| 21
Line 115: Line 115:
| 22
| 22
| 330
| 330
| [[17/14]], [[23/19]], [[29/24]]
| [[40/33]], [[121/100]], [[17/14]], [[23/19]], [[29/24]]
|-
|-
| 23
| 23
Line 127: Line 127:
| 25
| 25
| 375
| 375
| ''[[21/17]]'', [[36/29]]
| ''[[21/17]]'', [[57/46]], [[36/29]], [[46/37]]
|-
|-
| 26
| 26
| 390
| 390
| [[5/4]]
| [[5/4]], [[64/51]]
|-
|-
| 27
| 27
| 405
| 405
| [[24/19]], [[19/15]]
| [[24/19]], [[19/15]], [[29/23]]
|-
|-
| 28
| 28
| 420
| 420
| [[32/25]], [[14/11]], [[23/18]]
| [[32/25]], [[14/11]], [[51/40]], [[23/18]]
|-
|-
| 29
| 29
Line 147: Line 147:
| 30
| 30
| 450
| 450
| [[35/27]], [[13/10]], [[22/17]]
| [[35/27]], [[13/10]], [[22/17]], [[48/37]]
|-
|-
| 31
| 31
| 465
| 465
| [[17/13]]
| [[55/42]], [[72/55]], [[17/13]]
|-
|-
| 32
| 32
| 480
| 480
| ''[[21/16]]'', [[25/19]], [[29/22]]
| ''[[21/16]]'', [[33/25]], [[25/19]], [[29/22]], [[37/28]]
|-
|-
| 33
| 33
| 495
| 495
| [[4/3]]
| [[4/3]], [[85/64]]
|-
|-
| 34
| 34
| 510
| 510
| [[51/38]], [[75/56]]
| [[51/38]], [[39/29]]
|-
|-
| 35
| 35
| 525
| 525
| [[19/14]], [[23/17]]
| [[65/48]], [[19/14]], [[23/17]]
|-
|-
| 36
| 36
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| 37
| 37
| 555
| 555
| [[11/8]]
| [[11/8]], [[29/21]], [[40/29]], [[51/37]]
|-
|-
| 38
| 38
| 570
| 570
| [[18/13]], [[32/23]]
| [[25/18]], [[18/13]], [[32/23]]
|-
|-
| 39
| 39
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| 40
| 40
| 600
| 600
| [[17/12]], [[24/17]]
| [[99/70]], [[140/99]], [[17/12]], [[24/17]]
|-
|-
| …
| …
Line 193: Line 193:
| …
| …
|}
|}
<nowiki>*</nowiki> based on treating 80edo as a [[29-limit]] temperament; other approaches are possible. Inconsistent interpretations in italic.
<nowiki>*</nowiki> based on treating 80edo as a no-31's [[37-limit]] temperament; other approaches are possible. Inconsistent interpretations in italic.


== Regular temperament properties ==
== Regular temperament properties ==