53edo: Difference between revisions

Instruments: Moved this from below Music to above it to be consistent with most(?) other EDO pages.
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Approximation to JI: -zeta peak index
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Note that the high primes, in [[rooted]] (/2<sup>''n''</sup>) position, essentially act as alternate interpretations of [[LCJI]] intervals, if you want to force a rooted interpretation; namely: [[71/64]] as ~[[10/9]], [[73/64]] as ~[[8/7]], [[79/64]] as ~[[16/13]], and perhaps most questionably in the context of 53edo, [[83/64]] as ~[[13/10]].
Note that the high primes, in [[rooted]] (/2<sup>''n''</sup>) position, essentially act as alternate interpretations of [[LCJI]] intervals, if you want to force a rooted interpretation; namely: [[71/64]] as ~[[10/9]], [[73/64]] as ~[[8/7]], [[79/64]] as ~[[16/13]], and perhaps most questionably in the context of 53edo, [[83/64]] as ~[[13/10]].
=== Zeta peak index ===
{{ZPI
| zpi = 257
| steps = 52.9968291550147
| step size = 22.6428640945673
| tempered height = 8.249774
| pure height = 8.243659
| integral = 1.486620
| gap = 18.069918
| octave = 1200.07179701207
| consistent = 10
| distinct = 10
}}


== Regular temperament properties ==
== Regular temperament properties ==