130edo: Difference between revisions

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'''130edo''' divides the octave into 130 parts of size 9.231 cents each.

130edo is ~~the tenth~~ [[~~The_Riemann_Zeta_Function_and_Tuning #Zeta EDO lists|~~zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischismic]]. It also can be used to tune the rank-three temperament [[Breed_family#Jove, aka Wonder|jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[hemiwürschmidt]] and [[Schismatic_family #Sesquiquartififths|sesquart]] and 13-limit [[Breedsmic_temperaments #Harry|harry]] temperaments.

130edo is a [[zeta peak edo]], a [[zeta peak integer edo]], and a [[zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischismic]]. It also can be used to tune the rank-three temperament [[Breed_family#Jove, aka Wonder|jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[hemiwürschmidt]] and [[Schismatic_family #Sesquiquartififths|sesquart]] and 13-limit [[Breedsmic_temperaments #Harry|harry]] temperaments.

7-limit commas: 2401/2400, 3136/3125, 19683/19600

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 '''130edo''' divides the octave into 130 parts of size 9.231 cents each.
-edo is the tenth [[The_Riemann_Zeta_Function_and_Tuning #Zeta EDO lists|zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischismic]]. It also can be used to tune the rank-three temperament [[Breed_family#Jove, aka Wonder|jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[hemiwürschmidt]] and [[Schismatic_family #Sesquiquartififths|sesquart]] and 13-limit [[Breedsmic_temperaments #Harry|harry]] temperaments.
+edo is a [[zeta peak edo]], a [[zeta peak integer edo]], and a [[zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischismic]]. It also can be used to tune the rank-three temperament [[Breed_family#Jove, aka Wonder|jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[hemiwürschmidt]] and [[Schismatic_family #Sesquiquartififths|sesquart]] and 13-limit [[Breedsmic_temperaments #Harry|harry]] temperaments.
 -limit commas: 2401/2400, 3136/3125, 19683/19600