Fendo family - Revision history

FloraC: Text replacement - "Category:Temperament families↵Category:Pages with mostly numerical content" to "Category:Temperament families"

2025-11-27T12:20:32Z

Text replacement - "Category:Temperament families↵Category:Pages with mostly numerical content" to "Category:Temperament families"

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	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~

Lériendil: Text replacement - "Category:Temperament families" to "Category:Temperament families Category:Pages with mostly numerical content"

2025-06-24T00:34:39Z

Text replacement - "Category:Temperament families" to "Category:Temperament families Category:Pages with mostly numerical content"

← Older revision		Revision as of 00:34, 24 June 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Pages with mostly numerical content]]

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:41:03Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	The parent [[comma]] of the fendo family is [[40/39]], which is [[tempered out]] in the rank-2 [[fendo]] (2.3.13/5) and rank-3 [[unintendo]] temperaments.		The parent [[comma]] of the fendo family is [[40/39]], which is [[tempered out]] in the rank-2 [[fendo]] (2.3.13/5) and rank-3 [[unintendo]] temperaments.

BudjarnLambeth: {{Technical data page}}

2025-04-13T11:39:19Z

{{Technical data page}}<br><br>

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			{{Technical data page}}<br><br>
	The parent [[comma]] of the fendo family is [[40/39]], which is [[tempered out]] in the rank-2 [[fendo]] (2.3.13/5) and rank-3 [[unintendo]] temperaments.		The parent [[comma]] of the fendo family is [[40/39]], which is [[tempered out]] in the rank-2 [[fendo]] (2.3.13/5) and rank-3 [[unintendo]] temperaments.

BudjarnLambeth: Categorised uncategorised page, and added links to dead end page

2025-03-17T09:01:48Z

Categorised uncategorised page, and added links to dead end page

← Older revision		Revision as of 09:01, 17 March 2025
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	The parent comma of the fendo family is 40/39, which is tempered out in the rank-2 [[fendo]] (2.3.13/5) and rank-3 [[unintendo]] temperaments.		The parent [[comma]] of the fendo family is [[40/39]], which is [[tempered out]] in the rank-2 [[fendo]] (2.3.13/5) and rank-3 [[unintendo]] temperaments.


	This article shows rank-2 ~~extensions~~ of '''fendo'''.		This article shows rank-2 [[extension]]s of '''fendo'''.

	== Fendo ==		== Fendo ==
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	= Main extensions: =		= Main extensions: =
	The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by 3/2 (octave-reduced), or equivalently tempering together 13/8 and 5/3. They differ from unintendo in that [[5/4\|5]] is found somewhere along the chain of fifths rather than being its own generator.		The concept of "fendo" tuning is well-represented by [[EDOs]] {{EDOs\|8, 13, and 18}}. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by 3/2 (octave-reduced), or equivalently tempering together 13/8 and 5/3. They differ from unintendo in that [[5/4\|5]] is found somewhere along the [[chain of fifths]] rather than being its own [[generator]].

	== Fendo-18 ==		== Fendo-18 ==
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	To reach 5/4 you stack 7 generators and to reach 13/8 you stack six. 5/4 is tuned sharp; 13/8 is also sharp.		To reach 5/4 you stack 7 generators and to reach 13/8 you stack six. 5/4 is tuned sharp; 13/8 is also sharp.

	In terms of circle of fifths notation, 5 is the chromatic semitone and 13 is the augmented fourth.		In terms of circle of fifths notation, 5 is the [[chromatic semitone]] and 13 is the augmented fourth.

	== Fendo-13 ==		== Fendo-13 ==
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	In terms of circle of fifths notation, 5 is the diminished fifth and 13 is the diminished octave.		In terms of circle of fifths notation, 5 is the diminished fifth and 13 is the diminished octave.

			[[Category:Temperament families]]

VectorGraphics at 09:42, 5 March 2025

2025-03-05T09:42:57Z

← Older revision		Revision as of 09:42, 5 March 2025
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	To reach 5/4 you stack 7 generators and to reach 13/8 you stack six. 5/4 is tuned sharp; 13/8 is also sharp.		To reach 5/4 you stack 7 generators and to reach 13/8 you stack six. 5/4 is tuned sharp; 13/8 is also sharp.

			In terms of circle of fifths notation, 5 is the chromatic semitone and 13 is the augmented fourth.

	== Fendo-13 ==		== Fendo-13 ==
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	To reach 5/4, you go down 6 generators. To reach 13/8, you go down 7 generators. Both 5 and 13 are sharp.		To reach 5/4, you go down 6 generators. To reach 13/8, you go down 7 generators. Both 5 and 13 are sharp.

			In terms of circle of fifths notation, 5 is the diminished fifth and 13 is the diminished octave.

VectorGraphics at 09:40, 5 March 2025

2025-03-05T09:40:44Z

← Older revision		Revision as of 09:40, 5 March 2025
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	= Main extensions: =		= Main extensions: =
	The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by 3/2 (octave-reduced), or equivalently tempering together 13/8 and 5/3:		The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by 3/2 (octave-reduced), or equivalently tempering together 13/8 and 5/3. They differ from unintendo in that [[5/4\|5]] is found somewhere along the chain of fifths rather than being its own generator.

	== Fendo-18 ==		== Fendo-18 ==

VectorGraphics at 09:05, 5 March 2025

2025-03-05T09:05:08Z

← Older revision		Revision as of 09:05, 5 March 2025
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	= Main extensions: =		= Main extensions: =
	The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by 3/2 (octave-reduced):		The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by 3/2 (octave-reduced), or equivalently tempering together 13/8 and 5/3:

	== Fendo-18 ==		== Fendo-18 ==

VectorGraphics at 09:01, 5 March 2025

2025-03-05T09:01:11Z

← Older revision		Revision as of 09:01, 5 March 2025
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	= Main extensions: =		= Main extensions: =
	The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by ~~one generator~~ (octave-reduced):		The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by 3/2 (octave-reduced):

	== Fendo-18 ==		== Fendo-18 ==

VectorGraphics at 09:00, 5 March 2025

2025-03-05T09:00:54Z

← Older revision		Revision as of 09:00, 5 March 2025
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	= Main extensions: =		= Main extensions: =
	The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 ~~representing a different aspect of fendo~~:		The concept of "fendo" tuning is well-represented by EDOs 8, 13, and 18. Each pair of these produces a rank-2 temperament in 2.3.5.13 separating 13/8 and 5/4 by one generator (octave-reduced):

	== Fendo-18 ==		== Fendo-18 ==
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	Badness: 2.330		Badness: 2.330


			To reach 5/4 you stack 7 generators and to reach 13/8 you stack six. 5/4 is tuned sharp; 13/8 is also sharp.

	== Fendo-13 ==		== Fendo-13 ==
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	Badness: 1.064		Badness: 1.064

			To reach 5/4, you stack 3 generators; but note that the period is 600 cents. To reach 13/8, you stack 2 generators. 5/4 is flat; 13/8 is sharp.

	== Fendo-8 ==		== Fendo-8 ==
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	Badness: 2.103		Badness: 2.103

			To reach 5/4, you go down 6 generators. To reach 13/8, you go down 7 generators. Both 5 and 13 are sharp.