37ed8 - Revision history

Dummy index: -6 (8.6.9 becomes 27.6.9 by using 6 to change 8, and then via 6.3 to finally 2.3. There is no room for 6)

2024-12-23T13:12:38Z

-6 (8.6.9 becomes 27.6.9 by using 6 to change 8, and then via 6.3 to finally 2.3. There is no room for 6)

← Older revision		Revision as of 13:12, 23 December 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	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 8.6.9.10.14.22.26.17/2.19/2 [[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]].

	== Intervals ==		== Intervals ==

BudjarnLambeth: stub or Todo:expand • add table or make collapsible if needed • add harmonics if missing • improve linking if needed • add subheadings if needed

2024-12-23T01:11:51Z

stub or Todo:expand • add table or make collapsible if needed • add harmonics if missing • improve linking if needed • add subheadings if needed

← Older revision		Revision as of 01:11, 23 December 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	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 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 8.6.9.10.14.22.26.17/2.19/2 [[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 119:		Line 120:
	\| 8/1		\| 8/1
	\|}		\|}

			== Harmonics ==
			{{Harmonics in equal\|37\|8\|1}}
			{{Harmonics in equal\|37\|8\|1\|collapsed=1\|start=12}}


			{{stub}}

Dummy index: /* Intervals */

2024-05-08T14:31:06Z

Intervals

← Older revision		Revision as of 14:31, 8 May 2024
Line 9:		Line 9:
	\|-		\|-
	\| 1 \|\| 97.297		\| 1 \|\| 97.297
	\| 17/16, 18/17, 19/18, 20/19, 52/49, 55/42		\| 17/16, 18/17, 19/18, 20/19, 52/49, 55/52
	\|-		\|-
	\| 2 \|\| 194.595		\| 2 \|\| 194.595

Dummy index at 05:27, 5 August 2023

2023-08-05T05:27:38Z

← Older revision		Revision as of 05:27, 5 August 2023
Line 1:		Line 1:
	{{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 a 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}}		{{harmonics in equal\|37\|8\|columns=14}}
	== Intervals ==		== Intervals ==
Line 9:		Line 9:
	\|-		\|-
	\| 1 \|\| 97.297		\| 1 \|\| 97.297
	\| 17/16, 18/17, 19/18, 20/19		\| 17/16, 18/17, 19/18, 20/19, 52/49, 55/42
	\|-		\|-
	\| 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 24:
	\|-		\|-
	\| 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 36:
	\|-		\|-
	\| 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 48:
	\|-		\|-
	\| 14 \|\| 1362.162		\| 14 \|\| 1362.162
	\| 11/5		\| 11/5, 35/16
	\|-		\|-
	\| 15 \|\| 1459.459		\| 15 \|\| 1459.459
Line 54:		Line 54:
	\|-		\|-
	\| 16 \|\| 1556.757		\| 16 \|\| 1556.757
	\| 22/9, 49/20		\| 22/9, 49/20, 32/13
	\|-		\|-
	\| 17 \|\| 1654.054		\| 17 \|\| 1654.054
	\| 44/17, 49/19, 13/5		\| 44/17, 49/19, 13/5, 34/13
	\|-		\|-
	\| 18 \|\| 1751.351		\| 18 \|\| 1751.351
	\| 11/4, 49/18, 52/19		\| 11/4, 36/13, 49/18, 52/19
	\|-		\|-
	\| 19 \|\| 1848.649		\| 19 \|\| 1848.649
	\| 49/17~~, 26/9~~, 55/19		\| 26/9, 32/11, 38/13, 49/17, 55/19
	\|-		\|-
	\| 20 \|\| 1945.946		\| 20 \|\| 1945.946
	\| 49/16, 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		\| 22 \|\| 2140.541
	\| 55/16, 65/19		\| 38/11, 55/16, 65/19
	\|-		\|-
	\| 23 \|\| 2237.838		\| 23 \|\| 2237.838
	\| 65/18		\| 40/11, 65/18, 91/25
	\|-		\|-
	\| 24 \|\| 2335.135		\| 24 \|\| 2335.135
	\| 65/17, 77/20		\| 65/17, 77/20, 50/13
	\|-		\|-
	\| 25 \|\| 2432.432		\| 25 \|\| 2432.432
Line 84:		Line 84:
	\|-		\|-
	\| 26 \|\| 2529.730		\| 26 \|\| 2529.730
	\| 77/18		\| 56/13, 77/18
	\|-		\|-
	\| 27 \|\| 2627.027		\| 27 \|\| 2627.027
	\| 32/7, 77/17		\| 32/7, 77/17, 50/11, 91/20
	\|-		\|-
	\| 28 \|\| 2724.324		\| 28 \|\| 2724.324
	\| 34/7, 77/16		\| 34/7, 77/16, 91/19
	\|-		\|-
	\| 29 \|\| 2821.622		\| 29 \|\| 2821.622
	\| 36/7, 56/11		\| 36/7, 56/11, 91/18
	\|-		\|-
	\| 30 \|\| 2918.919		\| 30 \|\| 2918.919
Line 111:		Line 111:
	\|-		\|-
	\| 35 \|\| 3405.405		\| 35 \|\| 3405.405
	\| 36/5, 64/9		\| 36/5, 64/9, 50/7
	\|-		\|-
	\| 36 \|\| 3502.703		\| 36 \|\| 3502.703

Dummy index: /* Intervals */

2023-08-04T15:27:40Z

Intervals

← Older revision		Revision as of 15:27, 4 August 2023
Line 54:		Line 54:
	\|-		\|-
	\| 16 \|\| 1556.757		\| 16 \|\| 1556.757
	\| 22/9		\| 22/9, 49/20
	\|-		\|-
	\| 17 \|\| 1654.054		\| 17 \|\| 1654.054
	\| 44/17, 13/5		\| 44/17, 49/19, 13/5
	\|-		\|-
	\| 18 \|\| 1751.351		\| 18 \|\| 1751.351
	\| 11/4, 52/19		\| 11/4, 49/18, 52/19
	\|-		\|-
	\| 19 \|\| 1848.649		\| 19 \|\| 1848.649
	\| 26/9, 55/19		\| 49/17, 26/9, 55/19
	\|-		\|-
	\| 20 \|\| 1945.946		\| 20 \|\| 1945.946
	\| 52/17, 55/18		\| 49/16, 52/17, 55/18
	\|-		\|-
	\| 21 \|\| 2043.243		\| 21 \|\| 2043.243
	\| 13/4, 55/17		\| 13/4, 55/17
	\|-		\|-
	\| \|\|		\| 22 \|\| 2140.541
	\|		\| 55/16, 65/19
	\|-		\|-
	\| \|\|		\| 23 \|\| 2237.838
	\|		\| 65/18
			\|-
			\| 24 \|\| 2335.135
			\| 65/17, 77/20
			\|-
			\| 25 \|\| 2432.432
			\| 65/16, 77/19
			\|-
			\| 26 \|\| 2529.730
			\| 77/18
			\|-
			\| 27 \|\| 2627.027
			\| 32/7, 77/17
			\|-
			\| 28 \|\| 2724.324
			\| 34/7, 77/16
			\|-
			\| 29 \|\| 2821.622
			\| 36/7, 56/11
			\|-
			\| 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

Dummy index: 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...."

2023-08-04T14:35:50Z

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...."

New page

{{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]].
{{harmonics in equal|37|8|columns=14}}
== Intervals ==
{| class="wikitable center-1 right-2"
! Steps
! [[Cent]]s
!Ratio approximated
|-
| 1 || 97.297
| 17/16, 18/17, 19/18, 20/19
|-
| 2 || 194.595
| 9/8, 10/9, 19/17
|-
| 3 || 291.892
| 13/11, 19/16, 20/17
|-
| 4 || 389.189
| 5/4
|-
| 5 || 486.486
| 25/19, 45/34
|-
| 6 || 583.784
| 7/5
|-
| 7 || 681.081
| 28/19
|-
| 8 || 778.378
|11/7, 14/9, 25/16
|-
| 9 || 875.676
| 28/17
|-
| 10 || 972.973
| 7/4
|-
| 11 || 1070.270
| 13/7
|-
| 12 || 1167.568
| 49/25, 35/18
|-
| 13 || 1264.865
| 35/17, 52/25
|-
| 14 || 1362.162
| 11/5
|-
| 15 || 1459.459
| 44/19, 65/28
|-
| 16 || 1556.757
| 22/9
|-
| 17 || 1654.054
| 44/17, 13/5
|-
| 18 || 1751.351
| 11/4, 52/19
|-
| 19 || 1848.649
| 26/9, 55/19
|-
| 20 || 1945.946
| 52/17, 55/18
|-
| 21 || 2043.243
| 13/4, 55/17
|-
| ||
|
|-
| ||
|
|-
| 33 || 3210.811
| 32/5
|-
| 34 || 3308.108
| 88/13, 34/5
|-
| 35 || 3405.405
| 36/5, 64/9
|-
| 36 || 3502.703
| 38/5, 68/9
|-
| 37 || 3600.000
| 8/1
|}