Fendo family: Difference between revisions
Created page with "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 exte..." |
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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. | {{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. | |||
This article shows rank-2 | 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 | 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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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. | |||
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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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. | |||
In terms of circle of fifths notation, 5 is the diminished fifth and 13 is the diminished octave. | |||
[[Category:Temperament families]] | |||
[[Category:Pages with mostly numerical content]] | |||