115edo: Difference between revisions

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'''115edo''' is the [[EDO|equal division of the octave]] into 115 parts of 10.4348 cents each. It tempers out 1594323/1562500 (unicorn comma) and 2109375/2097152 (semicomma) in the 5-limit, as well as 43046721/41943040 and 30958682112/30517578125 ([[Trisedodge family|trisedodge comma]]); 225/224, 1728/1715, and 9920232/9765625 in the 7-limit. 115edo supports the [[Semicomma family|newspeak temperament]], tempering out 441/440, 1375/1372, and 1944/1925 in the 11-limit. The wizardharry comma, 4000/3993 is also tempered out in 115edo.
{{Infobox ET}}
{{ED intro}}


[[Category:Equal divisions of the octave]]
== Theory ==
The equal temperament [[tempering out|tempers out]] 1594323/1562500 ([[unicorn comma]]) and 2109375/2097152 ([[semicomma]]) in the 5-limit, as well as 43046721/41943040 ([[python comma]]) and {{monzo| 19 10 -15 }} ([[trisedodge comma]]); [[225/224]], [[1728/1715]], and 9920232/9765625 in the 7-limit. Using the [[patent val]], it [[support]]s the [[semicomma family #Newspeak|newspeak temperament]], tempering out [[441/440]], [[1375/1372]], and 1944/1925 in the 11-limit. The wizardharry comma, [[4000/3993]] is also tempered out.
 
=== Odd harmonics ===
{{Harmonics in equal|115}}
 
== Intervals ==
{{Interval table}}