User:Fitzgerald Lee/Tuning Spectra: Difference between revisions

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(50 intermediate revisions by the same user not shown)
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 62: Line 57:
| Lower bound of 5-odd-limit diamond monotone
| Lower bound of 5-odd-limit diamond monotone
|-
|-
| [[7edo|2\7]]
|
| 342.857
| ↑ Mujannabic<br>↓ Dichotic
|-
|
| [[3/2]]
| 350.978
| 1/2-comma
|-
| [[17edo|5\17]]
|
| 352.941
|
|-
| [[10edo|3\10]]
|
| 360.000
|
|-
|
| [[15/8]]
| 362.756
| 1/3-comma
|-
| [[13edo|4\13]]
|
| 369.231
|
|
| [[125/81]]
| 329.776
| 4/5-comma
|-
|-
| [[3edo|1\3]]
|
| 400.000
| Upper bound of 5-odd-limit diamond monotone
|}
<nowiki/>* Besides the octave
=== [[Bug]], [[27/25]] ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]*
! Generator (¢)
! Comments
|-
| [[4edo|3\4]]
|
|
| [[27/25]]
| 900.000
| 333.309
| Lower bound of 5-odd-limit diamond monotone
| 3/4-comma
|-
|-
|
|
| [[9/5]]
| [[5/4]]
| 339.199
| 928.771
| 2/3-comma
| 1/3-comma
|-
|-
| [[7edo|2\7]]
| [[9edo|7\9]]
|
|
| 342.857
| 933.333
|
|
|-
|-
| [[14edo|11\14]]
|
| 942.857
|
|
| [[27/20]]
| 343.910
| 3/5-comma
|-
|-
|
|
| [[3/2]]
| [[3/2]]
| 350.978
| 950.978
| 1/2-comma
| 1/2-comma
|-
|-
| [[17edo|5\17]]
| [[5edo|4\5]]
|
| 960.000
| 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
|
|
| 352.941
|-
|
| [[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
|
|
| [[45/32]]
| 358.045
| 2/5-comma
|-
|-
| [[10edo|3\10]]
| [[34edo|27\34]]
|
|
| 360.000
| 952.941
|
|
|-
|-
|
|
| [[15/8]]
| [[21/16]]
| 362.756
| 956.927
| 1/3-comma
| 1/3-comma
|-
| [[5edo|4\5]]
|
| 960.000
|
|-
| [[6edo|5\6]]
|
| 1000.000
|
|}
<nowiki/>* Besides the octave
=== [[Archy]], [[64/63]] ===
=== [[Meantone]], [[81/80]] ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]*
! Generator (¢)
! Comments
|-
| [[7edo|4\7]]
|
| 685.714
| Lower bound of 5-odd-limit diamond monotone
|-
|
| [[9/5]]
| 691.202
| [[1/2-comma meantone|1/2-comma]]
|-
|
| [[19683/12500]]
| 692.179
| [[5/11-comma meantone|5/11-comma]]
|-
| [[26edo|15\26]]
|
| 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]]
|
| 693.333
|
|-
|
| [[27/25]]
| 693.352
| [[2/5-comma meantone|2/5-comma]]
|-
|
| [[125/81]]
| 693.890
| [[3/8-comma meantone|3/8-comma]]
|-
| [[19edo|11\19]]
|
| 694.737
| ↑ Flattone<br>↓ 19&64
|-
|
| [[5/3]]
| 694.786
| [[1/3-comma meantone|1/3-comma]]
|-
| [[88edo|51\88]]
|
| 695.455
|
|-
|
| [[125/72]]
| 695.503
| [[3/10-comma meantone|3/10-comma]]
|-
| [[69edo|40\69]]
|
| 695.652
| ↑ 19&64<br>↓ 50&69
|-
|
| [[25/24]]
| 695.810
| [[2/7-comma meantone|2/7-comma]]
|-
| [[50edo|29\50]]
|
| 696.000
| ↑ 50&69<br>↓ Septimal Meantone
|-
|
| [[125/96]]
| 696.090
| [[3/11-comma meantone|3/11-comma]]
|-
| [[81edo|47\81]]
|
| 696.296
|
|-
|
| [[5/4]]
| 696.578
| [[Quarter-comma meantone|1/4 comma]]
|-
| [[31edo|18\31]]
|
| 696.774
|
|-
| [[105edo|61\105]]
|
| 697.143
|
|-
|-
|
|
| [[75/64]]
| [[75/64]]
| 368.646
| 697.176
| 1/4-comma
| [[2/9-comma meantone|2/9-comma]]
|-
| [[74edo|43\74]]
|
| 697.297
| ↑ Septimal Meantone<br>↓ 74&117
|-
| [[117edo|68\117]]
|
| 697.436
| ↑ 74&117<br>↓ 43&117
|-
|
| [[15/8]]
| 697.654
| [[1/5-comma meantone|1/5-comma]]
|-
| [[43edo|25\43]]
|
| 697.674
| ↑ 43&117<br>↓ 43&55
|-
| [[98edo|57\98]]
|
| 697.959
|
|-
|
| [[675/512]]
| 698.045
| [[2/11-comma meantone|2/11-comma]]
|-
| [[55edo|32\55]]
|
| 698.182
| ↑ 43&55<br>↓ 12&55
|-
|
| [[45/32]]
| 698.371
| [[1/6-comma meantone|1/6-comma]]
|-
| [[67edo|39\67]]
|
| 698.507
|
|-
|-
| [[13edo|4\13]]
|
|
| 369.231
| [[135/128]]
| 698.883
| [[1/7-comma meantone|1/7-comma]]
|-
|
|
| [[405/256]]
| 699.267
| [[1/8-comma meantone|1/8-comma]]
|-
|-
| [[12edo|7\12]]
|
|
| [[375/256]]
| 700.000
| 372.179
| ↑ 12&55<br>↓ Dominant
| 1/5-comma
|-
|-
| [[3edo|1\3]]
| [[5edo|3\5]]
|
|
| 400.000
| 720.000
| Upper bound of 5-odd-limit diamond monotone
| Upper bound of 5-odd-limit diamond monotone
|}
|}
<nowiki/>* Besides the octave
<nowiki/>* Besides the octave
=== [[27/25]] ===
 
=== [[Augmented (temperament)|Augmented]], [[128/125]] ===
 
=== [[Mavila]], [[135/128]] ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
Line 141: 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]] ===