Octacot (temperament) - Revision history

Inthar at 03:01, 2 April 2026

2026-04-02T03:01:46Z

← Older revision		Revision as of 03:01, 2 April 2026
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	'''Octacot''', 2.3.5.7{[[27edo\|27]] & [[41edo\|41]]}, is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20. It is the most important weak extension of [[Tetracot]].		'''Octacot''', 2.3.5.7{[[27edo\|27]] & [[41edo\|41]]}, is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20. It is the most important weak extension of [[Tetracot (temperament)\|Tetracot]].
	== Interval chain ==		== Interval chain ==
	In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.		In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.

Inthar: Inthar moved page Octacot to Octacot (temperament) without leaving a redirect

2026-04-02T02:36:15Z

Inthar moved page Octacot to Octacot (temperament) without leaving a redirect

← Older revision	Revision as of 02:36, 2 April 2026
(No difference)

Inthar: /* Interval chain */

2026-03-13T04:39:21Z

Interval chain

← Older revision		Revision as of 04:39, 13 March 2026
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	\|-		\|-
	\| 12		\| 12
	\| 1052.~~933~~		\| 1052.9
	\|		\|
	\|-		\|-

Inthar: /* Interval chain */

2026-03-13T04:38:14Z

Interval chain

← Older revision		Revision as of 04:38, 13 March 2026
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	\| 20		\| 20
	\| 554.9		\| 554.9
	\| ~~('''11/8''')~~		\|
	\|}		\|}
	<nowiki/>* in exact-3/2 tuning		<nowiki/>* in exact-3/2 tuning

Inthar at 03:39, 9 March 2026

2026-03-09T03:39:27Z

← Older revision		Revision as of 03:39, 9 March 2026
Line 1:		Line 1:
	'''Octacot''', 2.3.5.7{[[27edo\|27]] & [[41edo\|41]]}, is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20.		'''Octacot''', 2.3.5.7{[[27edo\|27]] & [[41edo\|41]]}, is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20. It is the most important weak extension of [[Tetracot]].
	== Interval chain ==		== Interval chain ==
	In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.		In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.

Inthar at 03:36, 9 March 2026

2026-03-09T03:36:03Z

← Older revision		Revision as of 03:36, 9 March 2026
Line 1:		Line 1:
	'''Octacot''', 2.3.5.7[27 & 41], is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20.		'''Octacot''', 2.3.5.7{[[27edo\|27]] & [[41edo\|41]]}, is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20.
	== Interval chain ==		== Interval chain ==
	In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.		In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.

Inthar at 03:34, 9 March 2026

2026-03-09T03:34:44Z

← Older revision		Revision as of 03:34, 9 March 2026
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	{{Navbox EDO}}		{{Navbox EDO}}
	{{Navbox regtemp}}		{{Navbox regtemp}}
			{{Cat\|Temperaments}}

Inthar at 03:34, 9 March 2026

2026-03-09T03:34:31Z

← Older revision		Revision as of 03:34, 9 March 2026
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	<nowiki/>* in exact-3/2 tuning		<nowiki/>* in exact-3/2 tuning

	{{Navbox et}}		{{Navbox EDO}}
	{{Navbox regtemp}}		{{Navbox regtemp}}

Inthar: /* Interval chain */

2026-03-09T03:33:40Z

Interval chain

← Older revision		Revision as of 03:33, 9 March 2026
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	\| 17		\| 17
	\| 291.7		\| 291.7
	\| ~~('''19/16''')~~		\|
	\|-		\|-
	\| 18		\| 18

Inthar: Created page with "'''Octacot''', 2.3.5.7[27 & 41], is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20. == Interval chain == In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''. {| class="wikitable right-1 right-2" |- ! # ! Cents* ! Approximate ratios |- | 0 | 0.0 | '''1/1''' |- | 1 | 87.7 | 21/20 |- | 2 | 175.5 | 10/9 |- | 3 | 263.2 | 7/6 |- | 4 | 351.0 | 49/40 |- | 5 | 438.7 | 9/7 |- | 6 | 526.5 | 27/20 |- | 7 | 614.2 |..."

2026-03-09T03:32:27Z

Created page with "'''Octacot''', 2.3.5.7[27 & 41], is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20. == Interval chain == In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''. {| class="wikitable right-1 right-2" |- ! # ! Cents* ! Approximate ratios |- | 0 | 0.0 | '''1/1''' |- | 1 | 87.7 | 21/20 |- | 2 | 175.5 | 10/9 |- | 3 | 263.2 | 7/6 |- | 4 | 351.0 | 49/40 |- | 5 | 438.7 | 9/7 |- | 6 | 526.5 | 27/20 |- | 7 | 614.2 |..."

New page

'''Octacot''', 2.3.5.7[27 & 41], is a 7-limit rank-2 temperament that splits 3/2 into 8 equal parts, each representing 21/20.
== Interval chain ==
In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.
{| class="wikitable right-1 right-2"
|-
! #
! Cents*
! Approximate ratios
|-
| 0
| 0.0
| '''1/1'''
|-
| 1
| 87.7
| 21/20
|-
| 2
| 175.5
| 10/9
|-
| 3
| 263.2
| 7/6
|-
| 4
| 351.0
| 49/40
|-
| 5
| 438.7
| 9/7
|-
| 6
| 526.5
| 27/20
|-
| 7
| 614.2
| 10/7
|-
| 8
| 702.0
| '''3/2'''
|-
| 9
| 789.7
| 63/40
|-
| 10
| 877.4
| 5/3
|-
| 11
| 965.2
| '''7/4'''
|-
| 12
| 1052.933
|
|-
| 13
| 1140.7
| 27/14
|-
| 14
| 28.4
| 81/80
|-
| 15
| 116.2
| 15/14
|-
| 16
| 203.9
| '''9/8'''
|-
| 17
| 291.7
| ('''19/16''')
|-
| 18
| 379.4
| '''5/4'''
|-
| 19
| 467.1
| '''21/16'''
|-
| 20
| 554.9
| ('''11/8''')
|}
<nowiki/>* in exact-3/2 tuning

{{Navbox et}}
{{Navbox regtemp}}