179edo: Difference between revisions

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~~The 179~~ equal division ~~divides~~ the octave into 179 ~~steps~~ of 6.~~704~~ cents each. It tempers out the parakleisma, ~~|8 14 -13>,~~ in the 5-limit, and supports parakleismic and its extensions, providing the optimal patent val for 11- and 13-limit [[Ragismic_microtemperaments~~#Parakleismic-Parkleismic~~|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:Edo]]

[[Category:Prime EDO]]

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-The 179 equal division divides the octave into 179 steps of 6.704 cents each. It tempers out the parakleisma, |8 14 -13&gt;, in the 5-limit, and supports parakleismic and its extensions, providing the optimal patent val for 11- and 13-limit [[Ragismic_microtemperaments#Parakleismic-Parkleismic|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:Edo]]
+[[Category:Prime EDO]]