User:Fitzgerald Lee/Tuning Spectra: Difference between revisions

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=== [[16/15]] ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]*
! Generator (¢)
! Comments
|-
| [[2edo|1\2]]
|
| 600.000
| Lower bound of 5-odd-limit diamond monotone
|-
| [[5edo|3\5]]
|
| 720.000
|
|-
|
| [[9/5]]
| 739.199
| 1/3-comma
|-
| [[8edo|5\8]]
|
| 750.000
|
|-
|
| [[5/3]]
| 757.821
| 1/2-comma
|-
|
| [[25/24]]
| 776.443
| 2/3-comma
|-
| [[3edo|2\3]]
|
| 800.000
| ↑ Mother<br>Upper bound of 5-odd-limit diamond monotone<br>↓ 1&3
|-
| [[1edo|1\1]]
|
| 1200.000
|
|}
<nowiki/>* Besides the octave
 
=== [[25/24]] ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]*
! Generator (¢)
! Comments
|-
| [[4edo|1\4]]
|
| 300.000
| Lower bound of 5-odd-limit diamond monotone
|-
|
| [[9/5]]
| 339.199
| 2/3-comma
|-
| [[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
|
|-
| [[3edo|1\3]]
|
| 400.000
| Upper bound of 5-odd-limit diamond monotone
|}
<nowiki/>* Besides the octave
 
=== [[27/25]] ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]*
! Generator (¢)
! Comments
|-
| [[4edo|3\4]]
|
| 900.000
| Lower bound of 5-odd-limit diamond monotone
|-
|
| [[5/4]]
| 928.771
| 1/3-comma
|-
| [[9edo|7\9]]
|
| 933.333
|
|-
| [[14edo|11\14]]
|
| 942.857
|
|-
|
| [[3/2]]
| 950.978
| 1/2-comma
|-
| [[5edo|4\5]]
|
| 960.000
| Upper bound of 5-odd-limit diamond monotone
|}
<nowiki/>* Besides the octave
 
=== [[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]]
| 697.176
| [[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
|
|-
|
| [[135/128]]
| 698.883
| [[1/7-comma meantone|1/7-comma]]
|-
| [[12edo|7\12]]
|
| 700.000
| ↑ 12&55<br>↓ Dominant
|-
| [[5edo|3\5]]
|
| 720.000
| Upper bound of 5-odd-limit diamond monotone
|}
<nowiki/>* Besides the octave
 
=== [[135/128]] ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]*
! Generator (¢)
! Comments
|-
|}
<nowiki/>* Besides the octave

Latest revision as of 09:21, 15 July 2026

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
25/24 776.443 2/3-comma
2\3 800.000 ↑ Mother
Upper bound of 5-odd-limit diamond monotone
↓ 1&3
1\1 1200.000

* Besides the octave

25/24

Edo
generator 		Eigenmonzo
(unchanged interval)* 		Generator (¢) Comments
1\4 300.000 Lower bound of 5-odd-limit diamond monotone
9/5 339.199 2/3-comma
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

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

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
7\12 700.000 ↑ 12&55
↓ Dominant
3\5 720.000 Upper bound of 5-odd-limit diamond monotone

* Besides the octave

135/128

Edo
generator 		Eigenmonzo
(unchanged interval)* 		Generator (¢) Comments

* Besides the octave

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