View source for 13edo and optimal octave stretching

[[13edo]] has its [[The Riemann zeta function and tuning|local zeta peak]] at 12.96866 edo, which corresponds to an [[octave equivalence]] of 1202.9 cents.

Interestingly, this stretching improves both its [[acoustic phi]] interval (9\13), which now has an error of only -0.3 cents, as well as its [[logarithmic phi]] interval (21\13), which now has an error of only +1.5 cents.

<pre>
! 13edo_optimal-stretching.scl
!
13 equal divisions of 13edo local zeta peak
13
!
92.530775
185.061549
277.592324
370.123099
462.653873
555.184648
647.715422
740.246197
832.776972
925.307746
1017.838521
1110.369296
1202.90007
</pre>

[[Category:13-tone scales]]
[[Category:Tempered scales]]
[[Category:Pages with mostly numerical content]]

[[Category:Zeta]]
[[Category:13edo]]
[[Category:Pages with Scala files]]