Ploidacot/Pentacot: Difference between revisions

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== Notation ==

There is no agreed-upon notation for pentacot, and constructing one by extending Pythagorean notation is complicated due to the fact that it does not split the chromatic or diatonic semitone, but rather double-diminished third (the difference between two diatonic semitones and one chromatic semitone). Note and interval names are provided where pentacot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]).

There is no agreed-upon notation for pentacot, and constructing one by extending Pythagorean notation is complicated due to the fact that it does not split the chromatic or diatonic semitone, but rather the double-diminished third (the difference between two diatonic semitones and one chromatic semitone). Note and interval names are provided where pentacot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]).

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== Temperament interpretations ==

An obvious interpretation for pentacot is [[glacier]], a 2.3.13 subgroup temperament, where the generator is [[13/12]] and five of them make a perfect fifth. There are ~~many~~ extensions for full 13-limit: [[jerome]] (26 & 43), [[tsaharuk]] (77 & 94), and [[quanic]] (94 & 111).

An obvious interpretation for pentacot is [[glacier]], a 2.3.13 subgroup temperament, where the generator is [[13/12]] and five of them make a perfect fifth. There are some extensions for full 13-limit: [[jerome]] (26 & 43), [[tsaharuk]] (77 & 94), and [[quanic]] (94 & 111).

[[Category:Ploidacot]]

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 == Notation ==
-There is no agreed-upon notation for pentacot, and constructing one by extending Pythagorean notation is complicated due to the fact that it does not split the chromatic or diatonic semitone, but rather double-diminished third (the difference between two diatonic semitones and one chromatic semitone). Note and interval names are provided where pentacot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]).
+There is no agreed-upon notation for pentacot, and constructing one by extending Pythagorean notation is complicated due to the fact that it does not split the chromatic or diatonic semitone, but rather the double-diminished third (the difference between two diatonic semitones and one chromatic semitone). Note and interval names are provided where pentacot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]).
 {| class="wikitable"
@@ Line 221: / Line 221: @@
 == Temperament interpretations ==
-An obvious interpretation for pentacot is [[glacier]], a 2.3.13 subgroup temperament, where the generator is [[13/12]] and five of them make a perfect fifth. There are many extensions for full 13-limit: [[jerome]] (26 &amp; 43), [[tsaharuk]] (77 &amp; 94), and [[quanic]] (94 &amp; 111).
+An obvious interpretation for pentacot is [[glacier]], a 2.3.13 subgroup temperament, where the generator is [[13/12]] and five of them make a perfect fifth. There are some extensions for full 13-limit: [[jerome]] (26 &amp; 43), [[tsaharuk]] (77 &amp; 94), and [[quanic]] (94 &amp; 111).
 [[Category:Ploidacot]]