160edo: Difference between revisions

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'''160edo''' is the [[EDO|equal division of the octave]] into 160 parts of exact 7.5 cents each.  
'''160edo''' is the [[EDO|equal division of the octave]] into 160 parts of exact 7.5 cents each.  


It is closely related to [[80edo]], but the patent vals differ on the mapping for 7. It is [[contorted]] (or [[enfactored]]) in the 5-limit, tempering out [[2048/2025]] (diaschisma) and 390625000/387420489 (quartonic comma).  
It is closely related to [[80edo]], but the patent vals differ on the mapping for 7. It is [[contorted]] in the 5-limit, tempering out [[2048/2025]] (diaschisma) and 390625000/387420489 (quartonic comma).  


Using the [[patent val]] {{val| 160 254 372 449 554 592 }}, it tempers out [[245/243]], [[6144/6125]], and 3176523/3125000 in the 7-limit; [[441/440]], [[2200/2187]], [[4000/3993]], and 6912/6875 in the 11-limit; 196/195, 325/324, 352/351, 832/825, and 3146/3125 in the 13-limit.  
Using the [[patent val]] {{val| 160 254 372 449 554 592 }}, it tempers out [[245/243]], [[6144/6125]], and 3176523/3125000 in the 7-limit; [[441/440]], [[2200/2187]], [[4000/3993]], and 6912/6875 in the 11-limit; 196/195, 325/324, 352/351, 832/825, and 3146/3125 in the 13-limit.