User:BudjarnLambeth/5- to 10-tone scales in 47zpi

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Revision as of 23:49, 13 April 2023 by BudjarnLambeth (talk | contribs) (Created an article listing some 5 to 8 note scales from zeta stretched 15edo. I noticed in Wikifuture that one of the suggestions was to describe more 5 to 10 note scales, so I thought this may help with that a little.)
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The Zeta function has a local maximum close to 15.0535. One way to interpret this is to say that "15.0535edo" is the zeta stretched version of 15edo. This gives us a tuning very similar to 15edo, but with closer approximations of most just intervals, especially 3/2.


This article lists some 5- to 8-note scales in 15.0535edo. The tuning of each scale degree is given in cents.


Atoll 79.716 398.578 478.294 717.441 956.588 1195.735


Augmented 318.863 398.578 717.441 797.157 1116.020 1195.735


Equipentatonic 239.147 478.294 717.441 956.5881 1195.735


Firedance 239.147 558.010 717.441 956.588 1195.735


Monsoon 239.147 478.294 717.441 1036.304 1195.735


Porcupine Hexatonic 398.578 558.010 717.441 876.872 1036.304 1195.735


Porcupine Symmetric 159.431 318.863 478.294 717.441 876.872 1036.304 1195.735


Rockpool 398.578 478.294 717.441 956.588 1195.735


In case you wish to create your own scales from 15.0535edo, here is the full list of intervals available: 79.716 159.431 239.147 318.863 398.578 478.294 558.010 637.725 717.441 797.157 876.872 956.588 1036.304 1116.020 1195.735

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