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37ed8: Difference between revisions

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Created page with "{{Infobox ET}} 37ed8 is an equal tuning that divides the 8/1 ratio (triple-octave, octuple, fifteenth) into 37 equal steps of approximately 97.297 cents. It stands out as a 8...."
 
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{{Infobox ET}}
{{Infobox ET}}
37ed8 is an equal tuning that divides the 8/1 ratio (triple-octave, octuple, fifteenth) into 37 equal steps of approximately 97.297 cents. It stands out as a 8.9.10.14.22.26.17/2.19/2 subgroup tuning. This is an another approach for [[97.5cET]].
37ed8 is an [[equal tuning]] that divides the [[8/1]] ratio (triple-octave, octuple, twenty-second) into 37 equal steps of approximately 97.297 [[cents]]. It stands out as an 8.9.10.14.22.26.17/2.19/2 [[subgroup]] tuning. This is an another approach for [[97.5cET]].
{{harmonics in equal|37|8|columns=14}}
 
== Intervals ==
== Intervals ==
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2 mw-collapsible"
|+ Intervals of 37ed8
! Steps
! Steps
! [[Cent]]s
! [[Cent]]s
Line 9: Line 10:
|-
|-
| 1 || 97.297
| 1 || 97.297
| 17/16, 18/17, 19/18, 20/19
| 17/16, 18/17, 19/18, 20/19, 52/49, 55/52
|-
|-
| 2 || 194.595
| 2 || 194.595
| 9/8, 10/9, 19/17
| 9/8, 10/9, 19/17, 28/25, 49/44, 55/49
|-
|-
| 3 || 291.892
| 3 || 291.892
| 13/11, 19/16, 20/17
| 13/11, 19/16, 20/17, 45/38, 85/72, 77/65
|-
|-
| 4 || 389.189
| 4 || 389.189
Line 24: Line 25:
|-
|-
| 6 || 583.784
| 6 || 583.784
| 7/5
| 7/5, 25/18, 45/32
|-
|-
| 7 || 681.081
| 7 || 681.081
| 28/19
| 28/19, 25/17
|-
|-
| 8 || 778.378
| 8 || 778.378
|11/7, 14/9, 25/16
| 11/7, 14/9, 25/16
|-
|-
| 9 || 875.676
| 9 || 875.676
Line 36: Line 37:
|-
|-
| 10 || 972.973
| 10 || 972.973
| 7/4
| 7/4, 44/25
|-
|-
| 11 || 1070.270
| 11 || 1070.270
| 13/7
| 13/7, 35/19
|-
|-
| 12 || 1167.568
| 12 || 1167.568
| 49/25, 35/18
| 49/25, 35/18, 55/28
|-
|-
| 13 || 1264.865
| 13 || 1264.865
Line 48: Line 49:
|-
|-
| 14 || 1362.162
| 14 || 1362.162
| 11/5
| 11/5, 35/16
|-
|-
| 15 || 1459.459
| 15 || 1459.459
Line 54: Line 55:
|-
|-
| 16 || 1556.757
| 16 || 1556.757
| 22/9
| 22/9, 49/20, 32/13
|-
|-
| 17 || 1654.054
| 17 || 1654.054
| 44/17, 13/5
| 44/17, 49/19, 13/5, 34/13
|-
|-
| 18 || 1751.351
| 18 || 1751.351
| 11/4, 52/19
| 11/4, 36/13, 49/18, 52/19
|-
|-
| 19 || 1848.649
| 19 || 1848.649
| 26/9, 55/19
| 26/9, 32/11, 38/13, 49/17, 55/19
|-
|-
| 20 || 1945.946
| 20 || 1945.946
| 52/17, 55/18
| 34/11, 40/13, 49/16, 52/17, 55/18, 77/25
|-
|-
| 21 || 2043.243
| 21 || 2043.243
| 13/4, 55/17
| 13/4, 36/11, 55/17
|-
|-
| ||  
| 22 || 2140.541
|  
| 38/11, 55/16, 65/19
|-
|-
| ||  
| 23 || 2237.838
|  
| 40/11, 65/18, 91/25
|-
| 24 || 2335.135
| 65/17, 77/20, 50/13
|-
| 25 || 2432.432
| 65/16, 77/19
|-
| 26 || 2529.730
| 56/13, 77/18
|-
| 27 || 2627.027
| 32/7, 77/17, 50/11, 91/20
|-
| 28 || 2724.324
| 34/7, 77/16, 91/19
|-
| 29 || 2821.622
| 36/7, 56/11, 91/18
|-
| 30 || 2918.919
| 38/7, 91/17
|-
| 31 || 3016.216
| 40/7, 91/16
|-
| 32 || 3113.514
| 85/14
|-
|-
| 33 || 3210.811
| 33 || 3210.811
| 32/5
| 32/5, 45/7
|-
|-
| 34 || 3308.108
| 34 || 3308.108
| 88/13, 34/5
| 34/5, 88/13
|-
|-
| 35 || 3405.405
| 35 || 3405.405
| 36/5, 64/9
| 36/5, 64/9, 50/7
|-
|-
| 36 || 3502.703
| 36 || 3502.703
Line 92: Line 120:
| 8/1
| 8/1
|}
|}
== Harmonics ==
{{Harmonics in equal|37|8|1}}
{{Harmonics in equal|37|8|1|collapsed=1|start=12}}
{{stub}}
Retrieved from "https://en.xen.wiki/w/37ed8"