Octagar temperaments: Difference between revisions

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== Quintupole ==

: ''See also: [[16ed5/2 #~~16ed5/2 as a generator~~]] or [[34ed7 #~~34ed7 as a generator~~]]''

: ''See also: [[16ed5/2 #Regular temperaments]] or [[34ed7 #Regular temperaments]]''

The ''quintupole'' temperament tempers out the octagar comma and the mistisma (458752/455625) in the 7-limit; 896/891 (pentacircle), 1375/1372 (moctdel), and 4375/4356 (fantares, luluzoquadyo) in the 11-limit. The word "quintupole" means ''five poles'', but also a play on the words "quintuple" and "polypyth". It is so named because the generator is 1/5 of the [[Porwell temperaments #Polypyth|polypyth]] fourth (~4/3, about 495.8 cents). Proper pronunciation of the word "quintupole" is /'kwɪntʊpəʊl/ or /'kwɪntʊpoʊl/, like as "quin-to-pole". ''Not to be confused with [[Marvel temperaments #Quintapole|quint<u>'''a'''</u>pole]] temperament (12&85).''

@@ Line 86: / Line 86: @@
 == Quintupole ==
-: ''See also: [[16ed5/2 #16ed5/2 as a generator]] or [[34ed7 #34ed7 as a generator]]''
+: ''See also: [[16ed5/2 #Regular temperaments]] or [[34ed7 #Regular temperaments]]''
 The ''quintupole'' temperament tempers out the octagar comma and the mistisma (458752/455625) in the 7-limit; 896/891 (pentacircle), 1375/1372 (moctdel), and 4375/4356 (fantares, luluzoquadyo) in the 11-limit. The word "quintupole" means ''five poles'', but also a play on the words "quintuple" and "polypyth". It is so named because the generator is 1/5 of the [[Porwell temperaments #Polypyth|polypyth]] fourth (~4/3, about 495.8 cents). Proper pronunciation of the word "quintupole" is /'kwɪntʊpəʊl/ or /'kwɪntʊpoʊl/, like as "quin-to-pole". ''Not to be confused with [[Marvel temperaments #Quintapole|quint<u>'''a'''</u>pole]] temperament (12&amp;85).''