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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= 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.