179edo: Difference between revisions
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'''179edo''' is the [[EDO|equal division of the octave]] into 179 parts of 6.7039 cents each. It tempers out the parakleisma, 1224440064/1220703125 in the 5-limit, and supports parakleismic and its extensions, providing the optimal patent val for 11- and 13-limit [[Ragismic_microtemperaments|parkleismic temperament]]. In the 7-limit it tempers out 3136/3125, 4375/4374 and 10976/10935, in the 11-limit 176/175 and 1375/1372 and in the 13-limit 169/168, 325/324, 351/350 and 352/351, providing the optimal patent val for 11- and 13-limit [[Valinorismic_temperaments#Ulmo|ulmo temperament]]. 179 is the 41st [[prime_numbers|prime number]], with all of the advantages and disadvantages that brings. | '''179edo''' is the [[EDO|equal division of the octave]] into 179 parts of 6.7039 cents each. It tempers out the parakleisma, 1224440064/1220703125 in the 5-limit, and supports parakleismic and its extensions, providing the optimal patent val for 11- and 13-limit [[Ragismic_microtemperaments|parkleismic temperament]]. In the 7-limit it tempers out 3136/3125, 4375/4374 and 10976/10935, in the 11-limit 176/175 and 1375/1372 and in the 13-limit 169/168, 325/324, 351/350 and 352/351, providing the optimal patent val for 11- and 13-limit [[Valinorismic_temperaments#Ulmo|ulmo temperament]]. 179 is the 41st [[prime_numbers|prime number]], with all of the advantages and disadvantages that brings. | ||
[[Category: | [[Category:Equal divisions of the octave]] | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
Revision as of 23:13, 4 December 2020
179edo is the equal division of the octave into 179 parts of 6.7039 cents each. It tempers out the parakleisma, 1224440064/1220703125 in the 5-limit, and supports parakleismic and its extensions, providing the optimal patent val for 11- and 13-limit parkleismic temperament. In the 7-limit it tempers out 3136/3125, 4375/4374 and 10976/10935, in the 11-limit 176/175 and 1375/1372 and in the 13-limit 169/168, 325/324, 351/350 and 352/351, providing the optimal patent val for 11- and 13-limit ulmo temperament. 179 is the 41st prime number, with all of the advantages and disadvantages that brings.