9edf - Revision history

Overthink: /* Theory */ mention difference with Carlos Alpha

2026-03-20T19:21:14Z

Theory: mention difference with Carlos Alpha

← Older revision		Revision as of 19:21, 20 March 2026
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	== Theory ==		== Theory ==
	9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the 3/2.5/4.8/7.11/8 subgroup. [[Valentine]] can be seen as 9edf with an independent dimension for 2.		9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]] (though the Carlos Alpha generator is 0.03{{C}} narrower at 77.965{{C}}), and can be used as a temperament of the 3/2.5/4.8/7.11/8 subgroup. [[Valentine]] can be seen as 9edf with an independent dimension for 2.

	=== Harmonics ===		=== Harmonics ===

Overthink: /* Theory */ fix blatant misinformation

2026-03-20T19:19:12Z

Theory: fix blatant misinformation

← Older revision		Revision as of 19:19, 20 March 2026
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	== Theory ==		== Theory ==
	9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the 3/2.5/4.8/7.11/8 subgroup. ~~Carlos Alpha~~ can be seen as 9edf with an independent dimension for 2.		9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the 3/2.5/4.8/7.11/8 subgroup. [[Valentine]] can be seen as 9edf with an independent dimension for 2.

	=== Harmonics ===		=== Harmonics ===

Overthink: /* Theory */ remove misleading link; make basis entry positive

2026-03-20T19:18:11Z

Theory: remove misleading link; make basis entry positive

← Older revision		Revision as of 19:18, 20 March 2026
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	== Theory ==		== Theory ==
	9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the ~~[[Half-prime subgroup\|~~3/2.5/4.7/8.11/8 subgroup]]. Carlos Alpha can be seen as 9edf with an independent dimension for 2.		9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the 3/2.5/4.8/7.11/8 subgroup. Carlos Alpha can be seen as 9edf with an independent dimension for 2.

	=== Harmonics ===		=== Harmonics ===

Overthink: /* Scales */ + idiosyncratic terms template

2026-03-20T19:17:16Z

Scales: + idiosyncratic terms template

← Older revision		Revision as of 19:17, 20 March 2026
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	== Scales ==		== Scales ==
			{{Idiosyncratic terms}}

	{\| class="wikitable sortable"		{\| class="wikitable sortable"
	\|+		\|+

FloraC: Internalize internal link

2025-12-27T16:51:05Z

Internalize internal link

← Older revision		Revision as of 16:51, 27 December 2025
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	{\| class="wikitable sortable"		{\| class="wikitable sortable"
	\|+		\|+
	! rowspan="2" \|Name		! rowspan="2" \| Name
	! rowspan="2" \|Step pattern within 1 period		! rowspan="2" \| Step pattern within 1 period
	! colspan="3" \|Interval of repetition		! colspan="3" \| Interval of repetition
	! rowspan="2" \|First described by		! rowspan="2" \| First described by
	\|-		\|-
	!(in 9edf steps)		! (In 9edf steps)
	!(in cents)		! (In cents)
	!(~~nearby~~ JI)		! (Nearby JI)
	\|-		\|-
	\|Molten [[slendro]]		\| Molten [[slendro]]
	\|3		\| 3
	\|3		\| 3
	\|234.0		\| 234.0
	\|[[8/7]]		\| [[8/7]]
	\|''[[Budjarn Lambeth]] (2023)''		\| ''[[Budjarn Lambeth]] (2023)''
	\|-		\|-
	\|Pylon		\| Pylon
	\|6 3		\| 6 3
	\|9		\| 9
	\|702.0		\| 702.0
	\|[[3/2]]		\| [[3/2]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|-		\|-
	\|Quest		\| Quest
	\|7 2		\| 7 2
	\|9		\| 9
	\|702.0		\| 702.0
	\|[[3/2]]		\| [[3/2]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|-		\|-
	\|Snowcone		\| Snowcone
	\|3 6		\| 3 6
	\|9		\| 9
	\|702.0		\| 702.0
	\|[[3/2]]		\| [[3/2]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|-		\|-
	\|Molten [[pelog]]		\| Molten [[pelog]]
	\|2 2 5 2 5		\| 2 2 5 2 5
	\|16		\| 16
	\|1247.9		\| 1247.9
	\|[[33/16]]		\| [[33/16]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|-		\|-
	\|Swan		\| Swan
	\|4 5 4 5 4 5 4		\| 4 5 4 5 4 5 4
	\|31		\| 31
	\|2417.8		\| 2417.8
	\|[[4/1]]		\| [[4/1]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|-		\|-
	\|Livewire		\| Livewire
	\|1 8 1 8 1 8 1 8 1 8 1		\| 1 8 1 8 1 8 1 8 1 8 1
	\|46		\| 46
	\|3587.8		\| 3587.8
	\|[[8/1]]		\| [[8/1]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|-		\|-
	\|Purgatory		\| Purgatory
	\|8 1 8 1 8 1 8 1 8 1 8 1 8		\| 8 1 8 1 8 1 8 1 8 1 8 1 8
	\|62		\| 62
	\|4835.7		\| 4835.7
	\|[[16/1]]		\| [[16/1]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|-		\|-
	\|Cloudscape		\| Cloudscape
	\|5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5		\| 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5
	\|72		\| 72
	\|5615.6		\| 5615.6
	\|[[128/5]]		\| [[128/5]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|-		\|-
	\|Corrugated		\| Corrugated
	\|2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2		\| 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2
	\|135		\| 135
	\|10529.3		\| 10529.3
	\|[[437/1]]		\| [[437/1]]
	\|''Budjarn Lambeth (2023)''		\| ''Budjarn Lambeth (2023)''
	\|}		\|}
	None of these scales are approximated from another tuning unless specified otherwise. For exact [[cents]] values see [[User:BudjarnLambeth/Longer versions of scales#9edf]].		None of these scales are approximated from another tuning unless specified otherwise. For exact [[cents]] values see [[User:BudjarnLambeth/Longer versions of scales#9edf]].
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	== See also ==		== See also ==
	* [~~https://en.xen.wiki/w/Equal-step_tuning#~~Alpha-beta~~-gamma_family_of_equal_divisions Alpha-beta-gamma_family_of_equal_divisions~~]		* [[Alpha, beta, and gamma family of equal divisions]]

	[[Category:Listen]]		[[Category:Listen]]

FloraC: Undo math error

2025-12-27T16:47:50Z

Undo math error

← Older revision		Revision as of 16:47, 27 December 2025
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	\|-		\|-
	\| 9		\| 9
	\| ~~701~~.9		\| 702.0
	\| [[3/2]]		\| [[3/2]]
	\| C		\| C

Contribution at 01:47, 28 October 2025

2025-10-28T01:47:05Z

← Older revision		Revision as of 01:47, 28 October 2025
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	== Music ==		== Music ==
	See [[Carlos Alpha #Music]]. Many are tuned to exactly 9edf.		See [[Carlos Alpha #Music]]. Many are tuned to exactly 9edf.

			== See also ==
			* [https://en.xen.wiki/w/Equal-step_tuning#Alpha-beta-gamma_family_of_equal_divisions Alpha-beta-gamma_family_of_equal_divisions]

	[[Category:Listen]]		[[Category:Listen]]

Contribution: /* Theory */

2025-06-25T20:28:52Z

Theory

← Older revision		Revision as of 20:28, 25 June 2025
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	== Theory ==		== Theory ==
	9edf corresponds to 15.~~391524edo~~. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the [[Half-prime subgroup\|3/2.5/4.7/8.11/8 subgroup]]. Carlos Alpha can be seen as 9edf with an independent dimension for 2.		9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the [[Half-prime subgroup\|3/2.5/4.7/8.11/8 subgroup]]. Carlos Alpha can be seen as 9edf with an independent dimension for 2.

	=== Harmonics ===		=== Harmonics ===

BudjarnLambeth: /* Theory */

2025-05-18T08:01:14Z

Theory

← Older revision		Revision as of 08:01, 18 May 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	9edf corresponds to 15.391524edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the 3/2.5/4.7/8.11/8 subgroup. Carlos Alpha can be seen as 9edf with an independent dimension for 2.		9edf corresponds to 15.391524edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the [[Half-prime subgroup\|3/2.5/4.7/8.11/8 subgroup]]. Carlos Alpha can be seen as 9edf with an independent dimension for 2.

	=== Harmonics ===		=== Harmonics ===

BudjarnLambeth: /* Scales */

2025-05-18T08:00:04Z

Scales

← Older revision		Revision as of 08:00, 18 May 2025
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	\|16		\|16
	\|1247.9		\|1247.9
	\|72/35		\|[[33/16]]
	\|''Budjarn Lambeth (2023)''		\|''Budjarn Lambeth (2023)''
	\|-		\|-
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	\|72		\|72
	\|5615.6		\|5615.6
	\|77/3		\|[[128/5]]
	\|''Budjarn Lambeth (2023)''		\|''Budjarn Lambeth (2023)''
	\|-		\|-
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	\|135		\|135
	\|10529.3		\|10529.3
	\|~~438~~/1		\|[[437/1]]
	\|''Budjarn Lambeth (2023)''		\|''Budjarn Lambeth (2023)''
	\|}		\|}