Juggernaut: Difference between revisions
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'''Juggernaut''' is a 5.7.11 [[nonoctave]] [[regular temperament]] tempering out 125/121, using [[5/1|pentave]] (5/1) as its equivalence instead of the more common [[2/1|octave]] or even [[3/1|tritave]]. It has a period of 1\[[2ed5]] (1393 cents) representing [[11/5]], and a generator representing [[7/5]]. This gives juggernaut an extremely low [[complexity]] with 5th, 7th, and 11th harmonics all reachable within just 1 generator. It contains 2MOS of the families [[4L 2s (5/1-equivalent)|4L 2s]], [[4L 6s (5/1-equivalent)|4L 6s]], [[10L 4s (5/1-equivalent)|10L 4s]], [[14L 10s (5/1-equivalent)|14L 10s]], and [[24L 14s (5/1-equivalent)|24L 14s]]. | '''Juggernaut''' is a 5.7.11 [[nonoctave]] [[regular temperament]] tempering out 125/121, using [[5/1|pentave]] (5/1) as its equivalence instead of the more common [[2/1|octave]] or even [[3/1|tritave]]. It has a period of 1\[[2ed5]] (1393 cents) representing [[11/5]], and a generator representing [[7/5]]. This gives juggernaut an extremely low [[complexity]] with 5th, 7th, and 11th harmonics all reachable within just 1 generator, while still having only a moderately high error. Altogether it is one of the best 5/1-equivalent temperaments, comparable to [[meantone]] and [[BPS]] in their respective spheres. It contains 2MOS of the families [[4L 2s (5/1-equivalent)|4L 2s]], [[4L 6s (5/1-equivalent)|4L 6s]], [[10L 4s (5/1-equivalent)|10L 4s]], [[14L 10s (5/1-equivalent)|14L 10s]], and [[24L 14s (5/1-equivalent)|24L 14s]]. | ||
Revision as of 08:15, 2 August 2023
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Juggernaut is a 5.7.11 nonoctave regular temperament tempering out 125/121, using pentave (5/1) as its equivalence instead of the more common octave or even tritave. It has a period of 1\2ed5 (1393 cents) representing 11/5, and a generator representing 7/5. This gives juggernaut an extremely low complexity with 5th, 7th, and 11th harmonics all reachable within just 1 generator, while still having only a moderately high error. Altogether it is one of the best 5/1-equivalent temperaments, comparable to meantone and BPS in their respective spheres. It contains 2MOS of the families 4L 2s, 4L 6s, 10L 4s, 14L 10s, and 24L 14s.