Superpyth: Difference between revisions

Cmloegcmluin (talk | contribs)
Spectrum of superpyth tunings: improve and standardize tuning spectra tables
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The boundary of propriety is [[17edo|17EDO]].
The boundary of propriety is [[17edo|17EDO]].


== Spectrum of superpyth tunings ==
== Tuning spectrum ==
{| class="wikitable center-all left-3"
{| class="wikitable center-all"
! Eigenmonzo
! ET<br>generator
! Generator
! [[eigenmonzo|eigenmonzo<br>(unchanged interval]])
! Comments
! generator<br>(¢)
! comments
|-
|-
|
| 4/3
| 4/3
| 701.955
| 701.955
| Pythagorean tuning
| Pythagorean tuning
|-
|-
| (10\17)
| 10\17
|
| 705.882
| 705.882
| Lower bound of 7- and 9-odd-limit diamond monotone
| Lower bound of 7- and 9-odd-limit diamond monotone
|-
|-
|
| 28/27
| 28/27
| 707.408
| 707.408
| 1/5 comma
| 1/5 comma
|-
|-
|
| 9/7
| 9/7
| 708.771
| 708.771
| 1/4 comma, 1.3.7.9 minimax
| 1/4 comma, 1.3.7.9 minimax
|-
|-
|
| 16/15
| 16/15
| 708.807
| 708.807
|  
|  
|-
|-
| (13\22)
| 13\22
|
| 709.091
| 709.091
|  
|  
|-
|-
|
| 5/4
| 5/4
| 709.590
| 709.590
| 9-odd-limit minimax
| 9-odd-limit minimax
|-
|-
|
| 54/49
| 54/49
| 709.745
| 709.745
| 2/7 comma
| 2/7 comma
|-
|-
|
| 25/24
| 25/24
| 710.040
| 710.040
|  
|  
|-
|-
| (29\49)
| 29\49
|
| 710.204
| 710.204
|  
|  
|-
|-
|
| 6/5
| 6/5
| 710.545
| 710.545
|  
|  
|-
|-
|
| 7/5
| 7/5
| 710.681
| 710.681
| 7-odd-limit minimax
| 7-odd-limit minimax
|-
|-
|
| 7/6
| 7/6
| 711.043
| 711.043
| 1/3 comma, 1.3.7 minimax
| 1/3 comma, 1.3.7 minimax
|-
|-
| (16\27)
| 16\27
|
| 711.111
| 711.111
|  
|  
|-
|-
|
| 10/9
| 10/9
| 711.772
| 711.772
|  
|  
|-
|-
|
| 49/48
| 49/48
| 712.861
| 712.861
| 2/5 comma
| 2/5 comma
|-
|-
|
| 8/7
| 8/7
| 715.587
| 715.587
| 1/2 comma
| 1/2 comma
|-
|-
| (3\5)
| 3\5
|
| 720.000
| 720.000
| Upper bound of 7- and 9-odd-limit diamond monotone
| Upper bound of 7- and 9-odd-limit diamond monotone