User:Eliora/Phi to the phi: Difference between revisions

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Useful divisions: +harmonics & intervals to 21edPhi^Phi
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=== Useful divisions ===
=== Useful divisions ===
21edφ<sup>φ</sup> - not only it has an interval 13\21 approaching acoustic phi, it also corresponds to 18.6948edo, which makes it sound quite close to the Rectified Hebrew's 19-tone scale (18.579-edo). It has a very precise major third (as opposed to conventional 19edo's precise minor third of 6/5) and a superpythagorean fifth of 706 cents.
==== 21edφ<sup>φ</sup> ====
Not only it has an interval 13\21 approaching acoustic phi, it also corresponds to 18.6948edo, which makes it sound quite close to the Rectified Hebrew's 19-tone scale (18.579-edo). It has a very precise major third (as opposed to conventional 19edo's precise minor third of 6/5) and a superpythagorean fifth of 706 cents.
{{Harmonics in equal|21|3418|1569|title=Approximation of harmonics in 21EdPhi^Phi}}
 
===== Intervals =====
{{Interval table|21ed3418/1569}}
[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:Golden ratio]]
[[Category:Golden ratio]]