Catfish: Difference between revisions
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[[File:Salmon7.wav|thumb|Catfish[7] scale and 11:13:17 chord on A in 20ed11/5 tuning]] | [[File:Salmon7.wav|thumb|Catfish[7] scale and 11:13:17 chord on A in 20ed11/5 tuning]] | ||
'''Catfish''' is a [[11/5]]-repeating no-twos-or-threes [[rank-2 temperament]] which tempers out the commas 2093663/2088025 and 54925/54043 in the 5.11.13.17 subgroup. This implies a generator approximating [[17/11]] or its inverse 121/85. It can be viewed as the no-twos-or-threes analog to [[meantone]] with 11:13:17 being the substitute for 4:5:6. It possesses MOS scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>. | '''Catfish''' is a [[11/5]]-repeating no-twos-or-threes [[rank-2 temperament]] which tempers out the commas 2093663/2088025 and 54925/54043 in the 11/5.11.13.17 fractional subgroup (equatable to 5.11.13.17). This implies a generator approximating [[17/11]] or its inverse 121/85. It can be viewed as the no-twos-or-threes analog to [[meantone]] with 11:13:17 being the substitute for 4:5:6. It possesses MOS scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>. | ||
[[20ed11/5]] is one of the best tunings for this temperament, although it does noticeably flatten the [[13/11]] in the 11:13:17 chord. | [[20ed11/5]] is one of the best tunings for this temperament, although it does noticeably flatten the [[13/11]] in the 11:13:17 chord. | ||
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*[[Catfish7]] | *[[Catfish7]] | ||
*[[Catfish9]] | *[[Catfish9]] | ||
==Temperament data== | |||
Subgroup: 11/5.11.13.17 | |||
[[Comma list]]: 2093663/2088025, 54925/54043 | |||
Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]] | |||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||