31edo: Difference between revisions
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'''Thirty-one tone equal temperament''', also called '''31-tET''', '''31-EDO''', '''31-et''', or '''tricesimoprimal meantone temperament''', is the scale derived by dividing the octave into 31 [[equal]]ly large steps. The term ''Tricesimoprimal'' was first used by [[Adriaan Fokker]]. | '''Thirty-one tone equal temperament''', also called '''31-tET''', '''31-EDO''', '''31-et''', or '''tricesimoprimal meantone temperament''', is the scale derived by dividing the octave into 31 [[equal]]ly large steps. The term ''Tricesimoprimal'' was first used by [[Adriaan Fokker]]. | ||
== | == Basic theory == | ||
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Because of these near-just values and because the 11th harmonic is almost twice as flat as the 3rd harmonic, 31-et is relatively quite accurate and is [[The Riemann Zeta Function and Tuning#Zeta EDO lists|the 6th zeta integral edo, the 7th zeta gap edo and a zeta peak edo]]. | Because of these near-just values and because the 11th harmonic is almost twice as flat as the 3rd harmonic, 31-et is relatively quite accurate and is [[The Riemann Zeta Function and Tuning#Zeta EDO lists|the 6th zeta integral edo, the 7th zeta gap edo and a zeta peak edo]]. | ||
31edo's 5\31 neutral third generator generates [[mosh]] and [[dicoid]] MOSes. Its 12\31 generator generates an [[oneirotonic]] scale, similar to the 5L 3s scale in [[13edo]] but with the 9/8 and 5/4 better in tune. | |||
31edo is the 11th [[prime numbers|prime]] edo, following [[29edo]] and coming before [[37edo]]. | |||
== Intervals == | == Intervals == | ||