32edo: Difference between revisions
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== JI | == Approximation to JI == | ||
=== Zeta function === | === Zeta function === | ||
Below is a plot of the [[Zeta]] function, showing how its peak (ie most negative) value is shifted above 32, corresponding to a zeta tuning with octaves flattened to 1197.375 cents. This will improve the fifth, at the expense of the third. | Below is a plot of the [[Zeta]] function, showing how its peak (ie most negative) value is shifted above 32, corresponding to a zeta tuning with octaves flattened to 1197.375 cents. This will improve the fifth, at the expense of the third. | ||
[[File:plot32.png|alt=plot32.png|plot32.png]] | [[File:plot32.png|alt=plot32.png|plot32.png]] | ||
== Delta-rational harmony == | == Delta-rational harmony == | ||
The tables below show chords that approximate 3-integer-limit [[delta-rational]] chords with least-squares error less than 0.0015. | The tables below show chords that approximate 3-integer-limit [[delta-rational]] chords with least-squares error less than 0.0015. | ||