Mavila family: Difference between revisions

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The '''pelogic family''' tempers out [[135/128]], the pelogic comma, also known as the major chroma or major limma. The [[5-limit]] temperament is ~~'''~~mavila~~'''~~, so named after the Chopi village where it was discovered, and is the base from which higher limit temperaments are derived. The generator for all of these is a very flat fifth, lying on the spectrum between 7-equal and 9-equal.

The '''pelogic family''' tempers out [[135/128]], the pelogic comma, also known as the major chroma or major limma. The [[5-limit]] temperament is [[mavila]], so named after the Chopi village where it was discovered, and is the base from which higher limit temperaments are derived. The generator for all of these is a very flat fifth, lying on the spectrum between [[7edo|7-equal]] and [[9edo|9-equal]].

One of the most salient and characteristic features of pelogic temperament is that when you stack 4 of the tempered fifths you get to a minor third instead of the usual major third that you would get if the fifths were pure. This also means that the arrangement of small and large steps in a 7-note mavila scale is the inverse of a diatonic scale of 2 small steps and 5 large steps; ~~Mavila~~ has 2 large steps and 5 small steps (see [[2L 5s]]).

One of the most salient and characteristic features of pelogic temperament is that when you stack 4 of the tempered fifths you get to a minor third instead of the usual major third that you would get if the fifths were pure. This also means that the arrangement of small and large steps in a 7-note mavila scale is the inverse of a diatonic scale of 2 small steps and 5 large steps; mavila has 2 large steps and 5 small steps (see [[2L 5s]]).

Another salient feature of pelogic temperament is the fact that 9 note ~~MOS scales~~ may be produced, thus giving us three different ~~MOS~~ scales to choose from that are not decidedly chromatic in nature (5, 7, and 9 note scales). This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal temperament (see [[7L 2s]]).

Another salient feature of pelogic temperament is the fact that 9-note [[mos scale]]s may be produced, thus giving us three different mos scales to choose from that are not decidedly chromatic in nature (5-, 7-, and 9-note scales). This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal temperament (see [[7L 2s]]).

'Pelogic' (from the Indonesian word ''[[Wikipedia: Pelog|pelog]]'') should probably be pronounced /pɛˈlɒgɪk/ ''pell-LOG-ik''.

== Mavila ==

[[Subgroup]]: 2.3.5

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: ~~Mapping~~ generators: ~2, ~3

: mapping generators: ~2, ~3

[[Optimal tuning]] ([[~~POTE~~]]): ~2 = 1\1, ~3/2 = ~~679~~.~~806~~

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 677.145

[[Tuning ranges]]:

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* ''[[Superpelog]]'' → [[Slendro clan #Superpelog|Slendro clan]]

* ''[[Clyndro]]'' → [[Gamelismic clan #Clyndro|Gamelismic clan]]

* ''[[Jamesbond]]'' → [[~~Dicot family~~ #Jamesbond|~~Dicot family~~]]

* ''[[Jamesbond]]'' → [[7th-octave temperaments #Jamesbond|7th-octave temperaments]]

== Septimal mavila ==

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-The '''pelogic family''' tempers out [[135/128]], the pelogic comma, also known as the major chroma or major limma. The [[5-limit]] temperament is '''mavila''', so named after the Chopi village where it was discovered, and is the base from which higher limit temperaments are derived. The generator for all of these is a very flat fifth, lying on the spectrum between 7-equal and 9-equal.
+The '''pelogic family''' tempers out [[135/128]], the pelogic comma, also known as the major chroma or major limma. The [[5-limit]] temperament is [[mavila]], so named after the Chopi village where it was discovered, and is the base from which higher limit temperaments are derived. The generator for all of these is a very flat fifth, lying on the spectrum between [[7edo|7-equal]] and [[9edo|9-equal]].
-One of the most salient and characteristic features of pelogic temperament is that when you stack 4 of the tempered fifths you get to a minor third instead of the usual major third that you would get if the fifths were pure. This also means that the arrangement of small and large steps in a 7-note mavila scale is the inverse of a diatonic scale of 2 small steps and 5 large steps; Mavila has 2 large steps and 5 small steps (see [[2L 5s]]).
+One of the most salient and characteristic features of pelogic temperament is that when you stack 4 of the tempered fifths you get to a minor third instead of the usual major third that you would get if the fifths were pure. This also means that the arrangement of small and large steps in a 7-note mavila scale is the inverse of a diatonic scale of 2 small steps and 5 large steps; mavila has 2 large steps and 5 small steps (see [[2L 5s]]).
-Another salient feature of pelogic temperament is the fact that 9 note MOS scales may be produced, thus giving us three different MOS scales to choose from that are not decidedly chromatic in nature (5, 7, and 9 note scales). This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal temperament (see [[7L 2s]]).
+Another salient feature of pelogic temperament is the fact that 9-note [[mos scale]]s may be produced, thus giving us three different mos scales to choose from that are not decidedly chromatic in nature (5-, 7-, and 9-note scales). This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal temperament (see [[7L 2s]]).
 'Pelogic' (from the Indonesian word ''[[Wikipedia: Pelog|pelog]]'') should probably be pronounced /pɛˈlɒgɪk/ ''pell-LOG-ik''.
 == Mavila ==
+{{Main| Mavila }}
 [[Subgroup]]: 2.3.5
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 {{Mapping|legend=1| 1 0 7 | 0 1 -3 }}
-: Mapping generators: ~2, ~3
+: mapping generators: ~2, ~3
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 679.806
+[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 677.145
 [[Tuning ranges]]:
@@ Line 35: / Line 37: @@
 * ''[[Superpelog]]'' → [[Slendro clan #Superpelog|Slendro clan]]
 * ''[[Clyndro]]'' → [[Gamelismic clan #Clyndro|Gamelismic clan]]
-* ''[[Jamesbond]]'' → [[Dicot family #Jamesbond|Dicot family]]
+* ''[[Jamesbond]]'' → [[7th-octave temperaments #Jamesbond|7th-octave temperaments]]
 == Septimal mavila ==