User:BudjarnLambeth/5- to 10-tone scales in 47zpi: Difference between revisions
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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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| Line 6: | Line 6: | ||
Atoll | Atoll | ||
79.716 | *79.716 | ||
398.578 | *398.578 | ||
478.294 | *478.294 | ||
717.441 | *717.441 | ||
956.588 | *956.588 | ||
1195.735 | *1195.735 | ||
Augmented | Augmented | ||
318.863 | *318.863 | ||
398.578 | *398.578 | ||
717.441 | *717.441 | ||
797.157 | *797.157 | ||
1116.020 | *1116.020 | ||
1195.735 | *1195.735 | ||
Equipentatonic | Equipentatonic | ||
239.147 | *239.147 | ||
478.294 | *478.294 | ||
717.441 | *717.441 | ||
956.5881 | *956.5881 | ||
1195.735 | *1195.735 | ||
Firedance | Firedance | ||
239.147 | *239.147 | ||
558.010 | *558.010 | ||
717.441 | *717.441 | ||
956.588 | *956.588 | ||
1195.735 | *1195.735 | ||
Monsoon | Monsoon | ||
239.147 | *239.147 | ||
478.294 | *478.294 | ||
717.441 | *717.441 | ||
1036.304 | *1036.304 | ||
1195.735 | *1195.735 | ||
Porcupine Hexatonic | Porcupine Hexatonic | ||
398.578 | *398.578 | ||
558.010 | *558.010 | ||
717.441 | *717.441 | ||
876.872 | *876.872 | ||
1036.304 | *1036.304 | ||
1195.735 | *1195.735 | ||
Porcupine Symmetric | Porcupine Symmetric | ||
159.431 | *159.431 | ||
318.863 | *318.863 | ||
478.294 | *478.294 | ||
717.441 | *717.441 | ||
876.872 | *876.872 | ||
1036.304 | *1036.304 | ||
1195.735 | *1195.735 | ||
Rockpool | Rockpool | ||
398.578 | *398.578 | ||
478.294 | *478.294 | ||
717.441 | *717.441 | ||
956.588 | *956.588 | ||
1195.735 | *1195.735 | ||
In case you wish to create your own scales from 15.0535edo, here is the full list of intervals available: | In case you wish to create your own scales from 15.0535edo, here is the full list of intervals available: | ||
79.716 | *79.716 | ||
159.431 | *159.431 | ||
239.147 | *239.147 | ||
318.863 | *318.863 | ||
398.578 | *398.578 | ||
478.294 | *478.294 | ||
558.010 | *558.010 | ||
637.725 | *637.725 | ||
717.441 | *717.441 | ||
797.157 | *797.157 | ||
876.872 | *876.872 | ||
956.588 | *956.588 | ||
1036.304 | *1036.304 | ||
1116.020 | *1116.020 | ||
1195.735 | *1195.735 | ||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
[[Category:15edo]] | [[Category:15edo]] | ||
[[Category:Zeta]] | [[Category:Zeta]] | ||
Revision as of 23:50, 13 April 2023
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