User:BudjarnLambeth/5- to 10-tone scales in 47zpi: Difference between revisions
Listed the original source of the scales as requested on the XA Discord |
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| Line 5: | Line 5: | ||
Atoll | Atoll (this is the original/default tuning) | ||
*79.716 | *79.716 | ||
*398.578 | *398.578 | ||
| Line 14: | Line 14: | ||
[[Aurora scale|Aurora]] | [[Aurora scale|Aurora]] (approximated from [[Hexany 1728]]) | ||
* 159.431 | * 159.431 | ||
| Line 23: | Line 23: | ||
[[Augmented]] | [[Augmented]][6] MOS | ||
*318.863 | *318.863 | ||
*398.578 | *398.578 | ||
| Line 32: | Line 32: | ||
[[ | Equipentatonic (Approximated from [[5edo]]) | ||
*239.147 | *239.147 | ||
*478.294 | *478.294 | ||
| Line 40: | Line 40: | ||
Firedance | Firedance (this is the original/default tuning) | ||
*239.147 | *239.147 | ||
*558.010 | *558.010 | ||
| Line 48: | Line 48: | ||
Monsoon | Monsoon (this is the original/default tuning) | ||
*239.147 | *239.147 | ||
*478.294 | *478.294 | ||
| Line 56: | Line 56: | ||
[[Porcupine]] | [[Porcupine]][6] MOS | ||
*398.578 | *398.578 | ||
*558.010 | *558.010 | ||
| Line 65: | Line 65: | ||
Rockpool | Rockpool (this is the original/default tuning) | ||
*398.578 | *398.578 | ||
*478.294 | *478.294 | ||
Revision as of 11:26, 25 February 2024
The Riemann Siegel Z 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 10-note scales in 15.0535edo. The tuning of each scale degree is given in cents.
Atoll (this is the original/default tuning)
- 79.716
- 398.578
- 478.294
- 717.441
- 956.588
- 1195.735
Aurora (approximated from Hexany 1728)
- 159.431
- 398.578
- 717.441
- 956.588
- 1195.735
Augmented[6] MOS
- 318.863
- 398.578
- 717.441
- 797.157
- 1116.020
- 1195.735
Equipentatonic (Approximated from 5edo)
- 239.147
- 478.294
- 717.441
- 956.5881
- 1195.735
Firedance (this is the original/default tuning)
- 239.147
- 558.010
- 717.441
- 956.588
- 1195.735
Monsoon (this is the original/default tuning)
- 239.147
- 478.294
- 717.441
- 1036.304
- 1195.735
Porcupine[6] MOS
- 398.578
- 558.010
- 717.441
- 876.872
- 1036.304
- 1195.735
Rockpool (this is the original/default tuning)
- 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
See also
- 5- to 10-tone scales in 30edo
- 5- to 10-tone scales in 60edo
- 5- to 10-tone scales in 84edo
- 5- to 10-tone scales in 91edo
- 5- to 10-tone scales in 96edo