Xenharmonic Wiki

Garibaldi: Difference between revisions

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VisualWikitext
Switch to CTE tuning, to 41 gensteps
→Tuning spectra: +some edo generators
Line 382: Line 382:
Gencom: [2 4/3; 225/224 275/273 325/324 385/384]
Gencom: [2 4/3; 225/224 275/273 325/324 385/384]


Gencom mapping: [{{val| 1 2 -1 -3 13 12 }}, {{val| 0 -1 8 14 -23 -20 }}]
Gencom mapping: {{mapping| 1 2 -1 -3 13 12 | 0 -1 8 14 -23 -20 }}


{| class="wikitable center-1 center-2"
{| class="wikitable center-all left-4"
|-
|-
! Edo<br>Generator
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
! Generator<br>(¢)
! Generator (¢)
! Comments
! Comments
|-
|-
| 7\12
|
| 700.0000
| Lower bound of 9-odd-limit diamond monotone
|-
| 38\65
|
| 701.5385
|
|-
|
| 16/15
| 16/15
| 701.676
| 701.676
|
|  
|-
|-
|
| 5/4
| 5/4
| 701.711
| 701.711
|
|  
|-
|-
|
| {{monzo| 0 -10 17 }}
| {{monzo| 0 -10 17 }}
| 701.728
| 701.728
| 5-odd-limit least squares
| 5-odd-limit least squares
|-
|-
|
| 6/5
| 6/5
| 701.738
| 701.738
| 5-odd-limit minimax
| 5-odd-limit minimax
|-
|-
|
| 10/9
| 10/9
| 701.760
| 701.760
|
|
|-
| 31\53
|
| 701.8868
|  
|-
|-
|
| 15/13
| 15/13
| 701.9355
| 701.9355
|
|  
|-
|-
|
| 13/10
| 13/10
| 701.9362
| 701.9362
|
|  
|-
|-
|
| 4/3
| 4/3
| 701.955
| 701.955
|
|  
|-
|-
|
| 16/13
| 16/13
| 702.026
| 702.026
|
|  
|-
|-
|
| 13/12
| 13/12
| 702.030
| 702.030
|
|  
|-
|-
|
| 18/13
| 18/13
| 702.034
| 702.034
|
|  
|-
|-
|
| 11/10
| 11/10
| 702.097
| 702.097
|
|  
|-
|-
|
| 15/11
| 15/11
| 702.102
| 702.102
|
|  
|-
|-
|
| 14/13
| 14/13
| 702.109
| 702.109
| 13 and 15-odd-limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -95 -137 -129 167 143 }}</span>
| <span style="font-size:0.75em">{{monzo| 0 -95 -137 -129 167 143 }}</span>
| 702.112
| 702.112
| 15-odd-limit least squares
| 15-odd-limit least squares
|-
|-
|
| {{monzo| 0 -27 7 17 }}
| {{monzo| 0 -27 7 17 }}
| 702.114
| 702.114
| 9-odd-limit least squares
| 9-odd-limit least squares
|-
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -38 -80 -122 137 116 }}</span>
| <span style="font-size:0.75em">{{monzo| 0 -38 -80 -122 137 116 }}</span>
| 702.128
| 702.128
| 13-odd-limit least squares
| 13-odd-limit least squares
|-
|-
|
| {{monzo| 0 -25 11 35 }}
| {{monzo| 0 -25 11 35 }}
| 702.140
| 702.140
| 7-odd-limit least squares
| 7-odd-limit least squares
|-
|-
|
| <span style="font-size:0.9em">{{monzo| 0 17 -52 -88 134 }}</span>
| <span style="font-size:0.9em">{{monzo| 0 17 -52 -88 134 }}</span>
| 702.183
| 702.183
| 11-odd-limit least squares
| 11-odd-limit least squares
|-
|-
|
| 9/7
| 9/7
| 702.193
| 702.193
| 9 and 11-odd-limit minimax
| 9- and 11-odd-limit minimax
|-
|-
|
| 7/6
| 7/6
| 702.209
| 702.209
| 7-odd-limit minimax
| 7-odd-limit minimax
|-
|-
|
| 8/7
| 8/7
| 702.227
| 702.227
|
|  
|-
|-
|
| 14/11
| 14/11
| 702.230
| 702.230
|
|  
|-
|-
|
| 11/8
| 11/8
| 702.231
| 702.231
|
|  
|-
|-
|
| 12/11
| 12/11
| 702.244
| 702.244
|
|  
|-
|-
|
| 11/9
| 11/9
| 702.258
| 702.258
|
|
|-
| 24\41
|
| 702.4390
|  
|-
|-
|
| 15/14
| 15/14
| 702.778
| 702.778
|
|  
|-
|-
|
| 7/5
| 7/5
| 702.915
| 702.915
|
|  
|-
| 17\29
|
| 703.4483
| Upper bound of 9-odd-limit diamond monotone
|-
|-
|
| 13/11
| 13/11
| 703.597
| 703.597
|
|  
|}
|}


Line 510: Line 565:
Gencom: [2 4/3; 100/99 105/104 196/195 245/242]
Gencom: [2 4/3; 100/99 105/104 196/195 245/242]


Gencom mapping: [{{val| 1 2 -1 -3 -4 -5 }}, {{val| 0 -1 8 14 18 21 }}]
Gencom mapping: {{mapping| 1 2 -1 -3 -4 -5 | 0 -1 8 14 18 21 }}


{| class="wikitable center-1 center-2"
{| class="wikitable center-all left-4"
|-
|-
! Edo<br>Generator
! Eigenmonzo<br>(Unchanged-interval)
! Eigenmonzo<br>(Unchanged-interval)
! Generator<br>(¢)
! Generator (¢)
! Comments
! Comments
|-
|-
| 7\12
|
| 700.0000
| Lower bound of 9-odd-limit diamond monotone
|-
| 38\65
|
| 701.5385
|
|-
|
| 16/15
| 16/15
| 701.676
| 701.676
|
|  
|-
|-
|
| 5/4
| 5/4
| 701.711
| 701.711
|
|  
|-
|-
|
| 6/5
| 6/5
| 701.738
| 701.738
| 5-odd-limit minimax
| 5-odd-limit minimax
|-
|-
|
| 10/9
| 10/9
| 701.760
| 701.760
|
|  
|-
|-
| 31\53
|
| 701.8868
|
|-
|
| 4/3
| 4/3
| 701.955
| 701.955
|
|  
|-
|-
|
| 9/7
| 9/7
| 702.193
| 702.193
| 9-odd-limit minimax
| 9-odd-limit minimax
|-
|-
|
| 7/6
| 7/6
| 702.209
| 702.209
| 7-odd-limit minimax
| 7-odd-limit minimax
|-
|-
|
| 8/7
| 8/7
| 702.227
| 702.227
|
|  
|-
|-
| 24\41
|
| 702.4390
|
|-
|
| 11/9
| 11/9
| 702.630
| 702.630
| 11-odd-limit minimax
| 11-odd-limit minimax
|-
|-
|
| 12/11
| 12/11
| 702.665
| 702.665
|
|  
|-
|-
|
| 11/8
| 11/8
| 702.705
| 702.705
|
|  
|-
|-
|
| 18/13
| 18/13
| 702.756
| 702.756
| 13 and 15-odd-limit minimax
| 13- and 15-odd-limit minimax
|-
|-
|
| 15/14
| 15/14
| 702.778
| 702.778
|
|  
|-
|-
|
| 13/12
| 13/12
| 702.792
| 702.792
|
|  
|-
|-
|
| 16/13
| 16/13
| 702.832
| 702.832
|
|  
|-
|-
|
| 7/5
| 7/5
| 702.915
| 702.915
|
|  
|-
|-
|
| 15/11
| 15/11
| 703.359
| 703.359
|
|  
|-
|-
|
| 15/13
| 15/13
| 703.410
| 703.410
|
|  
|-
| 17\29
|
| 703.4483
| Upper bound of 9-odd-limit diamond monotone
|-
|-
|
| 11/10
| 11/10
| 703.500
| 703.500
|
|  
|-
|-
|
| 13/10
| 13/10
| 703.522
| 703.522
|
|  
|-
|-
|
| 13/11
| 13/11
| 703.597
| 703.597
|
|  
|-
|-
|
| 14/13
| 14/13
| 704.043
| 704.043
|
|  
|-
|-
|
| 14/11
| 14/11
| 704.377
| 704.377
|
|  
|}
|}


Line 614: Line 718:
Gencom: [2 4/3; 99/98 176/175 275/273 847/845]
Gencom: [2 4/3; 99/98 176/175 275/273 847/845]


Gencom mapping: [{{val| 1 2 -1 -3 -9 -10 }}, {{val| 0 -1 8 14 30 33 }}]
Gencom mapping: {{mapping| 1 2 -1 -3 -9 -10 | 0 -1 8 14 30 33 }}


{| class="wikitable center-1 center-2"
{| class="wikitable center-all left-4"
|-
|-
! Edo<br>Generator
! Eigenmonzo<br>(Unchanged-interval)
! Eigenmonzo<br>(Unchanged-interval)
! Generator<br>(¢)
! Generator (¢)
! Comments
! Comments
|-
|-
| 7\12
|
| 700.0000
| Lower bound of 9-odd-limit diamond monotone
|-
|
| 14/11
| 14/11
| 701.094
| 701.094
|
|  
|-
|-
|
| 14/13
| 14/13
| 701.489
| 701.489
|
|  
|-
|-
| 38\65
|
| 701.5385
|
|-
|
| 11/10
| 11/10
| 701.591
| 701.591
|
|  
|-
|-
|
| 15/11
| 15/11
| 701.607
| 701.607
|
|  
|-
|-
|
| 11/8
| 11/8
| 701.623
| 701.623
|
|  
|-
|-
|
| 12/11
| 12/11
| 701.633
| 701.633
|
|  
|-
|-
|
| 11/9
| 11/9
| 701.644
| 701.644
| 11, 13, and 15-odd-limit minimax
| 11-, 13-, and 15-odd-limit minimax
|-
|-
|
| 16/15
| 16/15
| 701.676
| 701.676
|
|  
|-
|-
|
| 5/4
| 5/4
| 701.711
| 701.711
|
|  
|-
|-
|
| 6/5
| 6/5
| 701.738
| 701.738
| 5-odd-limit minimax
| 5-odd-limit minimax
|-
|-
|
| 10/9
| 10/9
| 701.760
| 701.760
|
|  
|-
|-
|
| 16/13
| 16/13
| 701.802
| 701.802
|
|  
|-
|-
|
| 13/12
| 13/12
| 701.807
| 701.807
|
|  
|-
|-
|
| 18/13
| 18/13
| 701.811
| 701.811
|
|  
|-
|-
|
| 13/10
| 13/10
| 701.831
| 701.831
|
|  
|-
|-
|
| 15/13
| 15/13
| 701.836
| 701.836
|
|  
|-
|-
| 31\53
|
| 701.8868
|
|-
|
| 4/3
| 4/3
| 701.955
| 701.955
|
|  
|-
|-
|
| 9/7
| 9/7
| 702.193
| 702.193
| 9-odd-limit minimax
| 9-odd-limit minimax
|-
|-
|
| 7/6
| 7/6
| 702.209
| 702.209
| 7-odd-limit minimax
| 7-odd-limit minimax
|-
|-
|
| 8/7
| 8/7
| 702.227
| 702.227
|
|  
|-
|-
| 24\41
|
| 702.4390
|
|-
|
| 15/14
| 15/14
| 702.778
| 702.778
|
|  
|-
|-
|
| 7/5
| 7/5
| 702.915
| 702.915
|
|  
|-
| 17\29
|
| 703.4483
| Upper bound of 9-odd-limit diamond monotone
|-
|-
|
| 13/11
| 13/11
| 703.597
| 703.597
|
|  
|}
|}


Retrieved from "https://en.xen.wiki/w/Garibaldi"