User:Fitzgerald Lee/Tuning Spectra: Difference between revisions

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Line 1: Line 1:
=== [[16/15]] ===
=== [[Father]], [[16/15]] ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
Line 11: Line 11:
| 600.000
| 600.000
| Lower bound of 5-odd-limit diamond monotone
| Lower bound of 5-odd-limit diamond monotone
|-
|
| [[135/128]]
| 646.089
| -1/2-comma
|-
|-
| [[5edo|3\5]]
| [[5edo|3\5]]
Line 37: Line 32:
| 1/2-comma
| 1/2-comma
|-
|-
| [[3edo|2\3]]
|
|
| [[25/24]]
| 800.000
| 776.443
| ↑ Mother<br>Upper bound of 5-odd-limit diamond monotone<br>↓ 1&3
| 2/3-comma
|-
|-
| [[3edo|2\3]]
| [[1edo|1\1]]
|
| 1200.000
|
|
| 800.000
| Upper bound of 5-odd-limit diamond monotone
|}
|}
<nowiki/>* Besides the octave
<nowiki/>* Besides the octave


=== [[25/24]] ===
=== [[Dicot]], [[25/24]] ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
Line 61: Line 56:
| 300.000
| 300.000
| Lower bound of 5-odd-limit diamond monotone
| Lower bound of 5-odd-limit diamond monotone
|-
|
| [[27/25]]
| 333.309
| 3/4-comma
|-
|
| [[9/5]]
| 339.199
| 2/3-comma
|-
|-
| [[7edo|2\7]]
| [[7edo|2\7]]
|
|
| 342.857
| 342.857
|
| ↑ Mujannabic<br>↓ Dichotic
|-
|
| [[27/20]]
| 343.910
| 3/5-comma
|-
|-
|
|
Line 91: Line 71:
| 352.941
| 352.941
|
|
|-
|
| [[45/32]]
| 358.045
| 2/5-comma
|-
|-
| [[10edo|3\10]]
| [[10edo|3\10]]
Line 106: Line 81:
| 362.756
| 362.756
| 1/3-comma
| 1/3-comma
|-
|
| [[75/64]]
| 368.646
| 1/4-comma
|-
|-
| [[13edo|4\13]]
| [[13edo|4\13]]
Line 116: Line 86:
| 369.231
| 369.231
|
|
|-
|
| [[375/256]]
| 372.179
| 1/5-comma
|-
|-
| [[3edo|1\3]]
| [[3edo|1\3]]
Line 129: Line 94:
<nowiki/>* Besides the octave
<nowiki/>* Besides the octave


=== [[27/25]] ===
=== [[Bug]], [[27/25]] ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
Line 141: Line 106:
| 900.000
| 900.000
| Lower bound of 5-odd-limit diamond monotone
| Lower bound of 5-odd-limit diamond monotone
|-
|
| [[25/24]]
| 917.668
| 1/4-comma
|-
|-
|
|
Line 156: Line 116:
| 933.333
| 933.333
|
|
|-
|
| [[15/8]]
| 937.654
| 2/5-comma
|-
|-
| [[14edo|11\14]]
| [[14edo|11\14]]
Line 176: Line 131:
| 960.000
| 960.000
| Upper bound of 5-odd-limit diamond monotone
| Upper bound of 5-odd-limit diamond monotone
|}
<nowiki/>* Besides the octave
=== [[Semaphore]], [[49/48]] ===
{| class="wikitable center-all left-4"
|-
! Edo <br>generator
! [[Eigenmonzo|Unchanged interval <br>(eigenmonzo)]]*
! Generator (¢)
! Comments
|-
| [[9edo|7\9]]
|
| 933.333
|
|-
| [[14edo|11\14]]
|
| 942.857
|
|-
|
| [[9/7]]
| 945.028
| 2/3-comma
|-
| [[19edo|15\19]]
|
| 947.368
|
|-
| [[24edo|19\24]]
|
| 950.000
|
|-
|
| [[3/2]]
| 950.978
| 1/2-comma
|-
| [[29edo|23\29]]
|
| 951.724
|
|-
| [[34edo|27\34]]
|
| 952.941
|
|-
|
| [[21/16]]
| 956.927
| 1/3-comma
|-
| [[5edo|4\5]]
|
| 960.000
|
|-
| [[6edo|5\6]]
|
| 1000.000
|
|}
|}
<nowiki/>* Besides the octave
<nowiki/>* Besides the octave


=== [[81/80]] ===
=== [[Archy]], [[64/63]] ===
 
=== [[Meantone]], [[81/80]] ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
Line 196: Line 217:
| 691.202
| 691.202
| [[1/2-comma meantone|1/2-comma]]
| [[1/2-comma meantone|1/2-comma]]
|-
|
| [[19683/12500]]
| 692.179
| [[5/11-comma meantone|5/11-comma]]
|-
|-
| [[26edo|15\26]]
| [[26edo|15\26]]
Line 201: Line 227:
| 692.308
| 692.308
|  
|  
|-
|
| [[2187/1250]]
| 692.397
| [[4/9-comma meantone|4/9-comma]]
|-
|
| [[243/125]]
| 692.738
| [[3/7-comma meantone|3/7-comma]]
|-
|-
| [[45edo|26\45]]
| [[45edo|26\45]]
Line 211: Line 247:
| 693.352
| 693.352
| [[2/5-comma meantone|2/5-comma]]
| [[2/5-comma meantone|2/5-comma]]
|-
|
| [[125/81]]
| 693.890
| [[3/8-comma meantone|3/8-comma]]
|-
|-
| [[19edo|11\19]]
| [[19edo|11\19]]
|
|
| 694.737
| 694.737
|  
| ↑ Flattone<br>↓ 19&64
|-
|-
|
|
| [[5/3]]
| [[5/3]]
| 694.786
| 694.786
| [[1/3-comma meantone|1/3 comma]]
| [[1/3-comma meantone|1/3-comma]]
|-
|-
| [[88edo|51\88]]
| [[88edo|51\88]]
Line 226: Line 267:
| 695.455
| 695.455
|
|
|-
|
| [[125/72]]
| 695.503
| [[3/10-comma meantone|3/10-comma]]
|-
|-
| [[69edo|40\69]]
| [[69edo|40\69]]
|
|
| 695.652
| 695.652
|
| ↑ 19&64<br>↓ 50&69
|-
|-
|
|
Line 240: Line 286:
|
|
| 696.000
| 696.000
| ↑ 50&69<br>↓ Septimal Meantone
|-
|
|
| [[125/96]]
| 696.090
| [[3/11-comma meantone|3/11-comma]]
|-
|-
| [[81edo|47\81]]
| [[81edo|47\81]]
Line 270: Line 321:
|
|
| 697.297
| 697.297
|
| ↑ Septimal Meantone<br>↓ 74&117
|-
|-
| [[117edo|68\117]]
| [[117edo|68\117]]
|
|
| 697.436
| 697.436
|  
| ↑ 74&117<br>↓ 43&117
|-
|-
|
|
Line 285: Line 336:
|
|
| 697.674
| 697.674
|
| ↑ 43&117<br>↓ 43&55
|-
|-
| [[98edo|57\98]]
| [[98edo|57\98]]
Line 291: Line 342:
| 697.959
| 697.959
|  
|  
|-
|
| [[675/512]]
| 698.045
| [[2/11-comma meantone|2/11-comma]]
|-
|-
| [[55edo|32\55]]
| [[55edo|32\55]]
|
|
| 698.182
| 698.182
|  
| ↑ 43&55<br>↓ 12&55
|-
|-
|
|
Line 311: Line 367:
| 698.883
| 698.883
| [[1/7-comma meantone|1/7-comma]]
| [[1/7-comma meantone|1/7-comma]]
|-
|
| [[405/256]]
| 699.267
| [[1/8-comma meantone|1/8-comma]]
|-
|-
| [[12edo|7\12]]
| [[12edo|7\12]]
|
|
| 700.000
| 700.000
|
| ↑ 12&55<br>↓ Dominant
|-
|-
| [[5edo|3\5]]
| [[5edo|3\5]]
Line 324: Line 385:
<nowiki/>* Besides the octave
<nowiki/>* Besides the octave


=== [[135/128]] ===
=== [[Augmented (temperament)|Augmented]], [[128/125]] ===
 
=== [[Mavila]], [[135/128]] ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
Line 332: Line 395:
! Comments
! Comments
|-
|-
| [[2edo|1\2]]
|
| 600.000
| Lower bound of 5-odd-limit diamond monotone
|-
| [[11edo|6\11]]
|
| 654.545
|
|-
|
| [[15/8]]
| 655.866
| 1/2-comma
|-
| [[9edo|5\9]]
|
| 666.667
| ↑ Pelogic<br>↓ Armodue
|-
|
| [[5/4]]
| 671.229
| 1/3-comma
|-
| [[16edo|9\16]]
|
| 675.000
|
|-
| [[23edo|13\23]]
|
| 678.261
|
|-
|
| [[5/3]]
| 678.910
| 1/4-comma
|-
| [[7edo|4\7]]
|
| 685.714
| Upper bound of 5-odd-limit diamond monotone
|}
|}
<nowiki/>* Besides the octave
<nowiki/>* Besides the octave
=== [[Porcupine]], [[250/243]] ===
=== [[Diminished (temperament)|Diminished]], [[648/625]] ===

Latest revision as of 02:26, 16 July 2026

Father, 16/15

Edo
generator 		Eigenmonzo
(unchanged interval)* 		Generator (¢) Comments
1\2 600.000 Lower bound of 5-odd-limit diamond monotone
3\5 720.000
9/5 739.199 1/3-comma
5\8 750.000
5/3 757.821 1/2-comma
2\3 800.000 ↑ Mother
Upper bound of 5-odd-limit diamond monotone
↓ 1&3
1\1 1200.000

* Besides the octave

Dicot, 25/24

Edo
generator 		Eigenmonzo
(unchanged interval)* 		Generator (¢) Comments
1\4 300.000 Lower bound of 5-odd-limit diamond monotone
2\7 342.857 ↑ Mujannabic
↓ Dichotic
3/2 350.978 1/2-comma
5\17 352.941
3\10 360.000
15/8 362.756 1/3-comma
4\13 369.231
1\3 400.000 Upper bound of 5-odd-limit diamond monotone

* Besides the octave

Bug, 27/25

Edo
generator 		Eigenmonzo
(unchanged interval)* 		Generator (¢) Comments
3\4 900.000 Lower bound of 5-odd-limit diamond monotone
5/4 928.771 1/3-comma
7\9 933.333
11\14 942.857
3/2 950.978 1/2-comma
4\5 960.000 Upper bound of 5-odd-limit diamond monotone

* Besides the octave

Semaphore, 49/48

Edo
generator 		Unchanged interval
(eigenmonzo)* 		Generator (¢) Comments
7\9 933.333
11\14 942.857
9/7 945.028 2/3-comma
15\19 947.368
19\24 950.000
3/2 950.978 1/2-comma
23\29 951.724
27\34 952.941
21/16 956.927 1/3-comma
4\5 960.000
5\6 1000.000

* Besides the octave

Archy, 64/63

Meantone, 81/80

Edo
generator 		Eigenmonzo
(unchanged interval)* 		Generator (¢) Comments
4\7 685.714 Lower bound of 5-odd-limit diamond monotone
9/5 691.202 1/2-comma
19683/12500 692.179 5/11-comma
15\26 692.308
2187/1250 692.397 4/9-comma
243/125 692.738 3/7-comma
26\45 693.333
27/25 693.352 2/5-comma
125/81 693.890 3/8-comma
11\19 694.737 ↑ Flattone
↓ 19&64
5/3 694.786 1/3-comma
51\88 695.455
125/72 695.503 3/10-comma
40\69 695.652 ↑ 19&64
↓ 50&69
25/24 695.810 2/7-comma
29\50 696.000 ↑ 50&69
↓ Septimal Meantone
125/96 696.090 3/11-comma
47\81 696.296
5/4 696.578 1/4 comma
18\31 696.774
61\105 697.143
75/64 697.176 2/9-comma
43\74 697.297 ↑ Septimal Meantone
↓ 74&117
68\117 697.436 ↑ 74&117
↓ 43&117
15/8 697.654 1/5-comma
25\43 697.674 ↑ 43&117
↓ 43&55
57\98 697.959
675/512 698.045 2/11-comma
32\55 698.182 ↑ 43&55
↓ 12&55
45/32 698.371 1/6-comma
39\67 698.507
135/128 698.883 1/7-comma
405/256 699.267 1/8-comma
7\12 700.000 ↑ 12&55
↓ Dominant
3\5 720.000 Upper bound of 5-odd-limit diamond monotone

* Besides the octave

Augmented, 128/125

Mavila, 135/128

Edo
generator 		Eigenmonzo
(unchanged interval)* 		Generator (¢) Comments
1\2 600.000 Lower bound of 5-odd-limit diamond monotone
6\11 654.545
15/8 655.866 1/2-comma
5\9 666.667 ↑ Pelogic
↓ Armodue
5/4 671.229 1/3-comma
9\16 675.000
13\23 678.261
5/3 678.910 1/4-comma
4\7 685.714 Upper bound of 5-odd-limit diamond monotone

* Besides the octave

Porcupine, 250/243

Diminished, 648/625

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