User:BudjarnLambeth/5- to 10-tone scales in 47zpi: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
mNo edit summary |
||
| Line 92: | Line 92: | ||
= See also = | = See also = | ||
* [[The Riemann Zeta Function and Tuning]] | * [[The Riemann Zeta Function and Tuning]] | ||
* [[Augmented]] | |||
* [[Blackwood]] | |||
* [[Porcupine]] | * [[Porcupine]] | ||
* [[5- to 10-tone scales in 30edo]] | * [[5- to 10-tone scales in 30edo]] | ||
* [[5- to 10-tone scales in 84edo]] | * [[5- to 10-tone scales in 84edo]] | ||
Revision as of 03:35, 9 January 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
- 79.716
- 398.578
- 478.294
- 717.441
- 956.588
- 1195.735
- 159.431
- 398.578
- 717.441
- 956.588
- 1195.735
- 318.863
- 398.578
- 717.441
- 797.157
- 1116.020
- 1195.735
- 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
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