Magic: Difference between revisions

Tuning spectra: -alternative extensions (addressed in magic extensions). -gencoms (trivial and irrelevant)
Tuning spectra: -> tunings. Update from magic extensions page
Line 103: Line 103:
* [[Paulsmagic]]
* [[Paulsmagic]]


== Tuning spectra ==
== Tunings ==
=== Magic ===
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
! Edo<br>generator
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! Generator(¢)
! Generator (¢)
! Comments
! Comments
|-
|-
|
|  
| 14/13
| 13/7
| 378.617
| 378.617
|
|  
|-
|-
|
|  
| 6/5
| 5/3
| 378.910
| 378.910
|
|  
|-
|-
| 6\19
| 6\19
|
|  
| 378.947
| 378.947
|
| Lower bound of 9- to 15-odd-limit diamond monotone
|-
|-
|
|  
| 15/13
| 15/13
| 379.355
| 379.355
|
|  
|-
|-
|
|  
| 18/13
| 13/9
| 379.577
| 379.577
|
|  
|-
|-
|
|  
| 13/10
| 13/10
| 379.660
| 379.660
|
|  
|-
|-
|
|  
| 10/9
| 9/5
| 379.733
| 379.733
|
|  
|-
|-
|
|  
| 13/12
| 13/12
| 379.890
| 379.890
|
|  
|-
|-
|
|  
| 27/20
| 27/20
| 379.968
| 379.968
Line 158: Line 158:
|-
|-
| 19\60
| 19\60
|
|  
| 380.000
| 380.000
|
|  
|-
|-
|
|  
| 16/13
| 13/8
| 380.029
| 380.029
|
|  
|-
|-
|
|  
| 15/14
| 15/14
| 380.093
| 380.093
|
|  
|-
|-
| 32\101
| 32\101
|
|  
| 380.198
| 380.198
|
| 101cde val
|-
|-
|
|  
| 7/5
| 7/5
| 380.228
| 380.228
|
|  
|-
|-
|
|  
| 13/11
| 13/11
| 380.354
| 380.354
| 13 and 15-odd-limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|
|  
| <span style="font-size:0.75em">{{monzo| 0 56 -31 46 -94 88 }}</span>
| {{monzo| 0 56 -31 46 -94 88 }}
| 380.377
| 380.377
| 13-odd-limit least squares
| 13-odd-limit least squares
|-
|-
|
|  
| {{monzo| 0 36 -23 32 }}
| {{monzo| 0 36 -23 32 }}
| 380.384
| 380.384
| 9-odd-limit least squares
| 9-odd-limit least squares
|-
|-
|
|  
| <span style="font-size:0.75em">{{monzo| 0 58 -29 52 -108 100 }}</span>
| {{monzo| 0 58 -29 52 -108 100 }}
| 380.389
| 380.389
| 15-odd-limit least squares
| 15-odd-limit least squares
|-
|-
|
|  
| 4/3
| 3/2
| 380.391
| 380.391
| 5, 7 and 9-odd-limit minimax
| 5-, 7- and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
|
|  
| 380.488
| 380.488
|
|  
|-
|-
|
|  
| {{monzo| 0 1 -7 15 }}
| {{monzo| 0 1 -7 15 }}
| 380.506
| 380.506
| 7-odd-limit least squares
| 7-odd-limit least squares
|-
|-
|
|  
| 11/9
| 11/9
| 380.700
| 380.700
| 11-odd-limit minimax
| 11-odd-limit minimax
|-
|-
|
|  
| <span style="font-size:0.9em">{{monzo| 0 85 -14 52 -68 }}</span>
| {{monzo| 0 85 -14 52 -68 }}
| 380.714
| 380.714
| 11-odd-limit least squares
| 11-odd-limit least squares
|-
|-
|
|  
| 8/7
| 7/4
| 380.735
| 380.735
|
|  
|-
|-
| 33\104
| 33\104
|
|  
| 380.769
| 380.769
|
| 104ff val
|-
|-
|
|  
| 12/11
| 11/6
| 380.818
| 380.818
|
|  
|-
|-
|
|  
| 14/11
| 11/7
| 380.875
| 380.875
|
|  
|-
|-
| 20\63
| 20\63
|
|  
| 380.952
| 380.952
|
| 63f val
|-
|-
|
|  
| 7/6
| 7/6
| 380.982
| 380.982
|
|  
|-
|-
|
|  
| 11/8
| 11/8
| 381.085
| 381.085
|
|  
|-
|-
|
|  
| 15/11
| 15/11
| 381.211
| 381.211
|
|  
|-
|-
|
|  
| 16/15
| 15/88
| 381.378
| 381.378
|
|  
|-
|-
|
|  
| 11/10
| 11/10
| 381.666
| 381.666
|
|  
|-
|-
| 7\22
| 7\22
|
|  
| 381.818
| 381.818
|
| 22f val, upper bound of 9- to 15-odd-limit diamond monotone
|-
|-
|
|  
| 9/7
| 9/7
| 382.458
| 382.458
|
|  
|-
|-
|
|  
| 5/4
| 5/4
| 386.314
| 386.314
|
|  
|}
|}