Dew comma: Difference between revisions

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Created page with "{{Infobox Interval}} The comma '''180224/177147''' is an unnoticeable 11-limit comma that is the difference between 33/32 and the 531441/5242..."
 
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{{Infobox Interval}}
{{Infobox Interval}}


The comma '''180224/177147''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma that is the difference between [[33/32]] and the [[531441/524288|Pythagorean comma]]. Tempering out this comma makes 11/8 a double-diminished fifth (C-Gbb) and 11/9 an augmented second (C-D#), which allows for the access of undecimal intervals in the brighter modes of the [[5L 7s|Pythagorean chromatic scale]] but not the diatonic scale.
The comma '''180224/177147''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma that is the difference between [[33/32]] and the [[531441/524288|Pythagorean comma]]. This comma is tempered out in EDOs with gentle fifths like [[17edo]], [[29edo]] and [[46edo]], making 11/8 a double-diminished fifth (C-Gbb) 11/9 an augmented second (C-D#), and 27/22 a diminished fourth (C-Fb). This allows for the access of undecimal intervals in the [[5L 7s|Pythagorean chromatic scale]] but not the diatonic scale.

Revision as of 23:08, 2 July 2023

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The comma 180224/177147 is an unnoticeable 11-limit comma that is the difference between 33/32 and the Pythagorean comma. This comma is tempered out in EDOs with gentle fifths like 17edo, 29edo and 46edo, making 11/8 a double-diminished fifth (C-Gbb) 11/9 an augmented second (C-D#), and 27/22 a diminished fourth (C-Fb). This allows for the access of undecimal intervals in the Pythagorean chromatic scale but not the diatonic scale.