45edo: Difference between revisions

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Theory: Add section on octave stretch
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=== Odd harmonics ===
=== Odd harmonics ===
{{harmonics in equal|45}}
{{harmonics in equal|45}}
=== Octave stretch ===
45edo’s approximations of 3/1, 5/1, 7/1, 11/1, 13/1 and 17/1 are all improved by [[Gallery of arithmetic pitch sequences#APS of farabs|APS3.21farab]], a [[Octave stretch|stretched-octave]] version of 45edo. The trade-off is a slightly worse 2/1.
The tuning [[ed257/128#45ed257/128|45ed257/128]] may be used for this purpose too, it improves 3/1, 5/1, 11/1 and 13/1, at the cost of a slightly worse 2/1 and 7/1.
There are also some nearby [[Zeta peak index]] (ZPI) tunings which can be used for this same purpose: 207zpi, 208zpi and 209zpo. The main Zeta peak index page details all three tunings.


== Intervals ==
== Intervals ==