Fendo family: Difference between revisions

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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 ==

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= 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 ==

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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.

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 ==

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

[[Category:Temperament families]]

@@ Line 1: / Line 1: @@
-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 ==
@@ Line 18: / Line 18: @@
 = 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 ==
@@ Line 36: / Line 36: @@
 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 ==
@@ Line 69: / Line 69: @@
 In terms of circle of fifths notation, 5 is the diminished fifth and 13 is the diminished octave.
+[[Category:Temperament families]]