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

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-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 [[47zpi]] (also known as 15.0535edo, 1ed79.716c, or 79.716cET). The tuning of each scale degree is given in [[cents]].
-This article lists some 5- to 10-note scales in 15.0535edo. The tuning of each scale degree is given in [[cents]].
+[[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
-Atoll
+[[Firedance]] (this is the original/default tuning)
-*79.716
+* 239.147
-*398.578
+* 558.010
-*478.294
+* 717.441
-*717.441
+* 956.588
-*956.588
+* 1195.735
-*1195.735
-[[Aurora scale|Aurora]]
+[[Magnetosphere scale|Magnetosphere]] (approximated from [[Hexany 1728]])
 * 159.431
@@ Line 23: / Line 36: @@
-[[Augmented]]
+Monsoon (this is the original/default tuning)
-*318.863
+* 239.147
-*398.578
+* 478.294
-*717.441
+* 717.441
-*797.157
+* 1036.304
-*1116.020
+* 1195.735
-*1195.735
-[[Blacksmith|Equipentatonic]]
+[[Porcupine]][6] MOS
-*239.147
+* 398.578
-*478.294
+* 558.010
-*717.441
+* 717.441
-*956.5881
+* 876.872
-*1195.735
+* 1036.304
+* 1195.735
-Firedance
+Rockpool (this is the original/default tuning)
-*239.147
+* 79.716
-*558.010
+* 398.578
-*717.441
+* 478.294
-*956.588
+* 717.441
-*1195.735
+* 956.588
+* 1195.735
-Monsoon
+In case you wish to create your own scales from 15.0535edo, here is the full list of intervals available:
-*239.147
+* 79.716
-*478.294
+* 159.431
-*717.441
+* 239.147
-*1036.304
+* 318.863
-*1195.735
+* 398.578
+* 478.294
+* 558.010
+* 637.725
+* 717.441
+* 797.157
+* 876.872
+* 956.588
+* 1036.304
+* 1116.020
+* 1195.735
+= See also =
+* [[Zeta peak index]] (zpi)
+* [[The Riemann zeta function and tuning]]
-[[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
-= See also =
-* [[The Riemann Zeta Function and Tuning]]
 * [[Augmented]]
 * [[Blackwood]]
 * [[Porcupine]]
-* [[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]]
+* [[5- to 10-tone scales from the modes of the harmonic series]]
+* [[5- to 10-tone scales from the modes of the subharmonic series]]
 [[Category:Lists of scales]]
-[[Category:15edo]]
-[[Category:Zeta]]
 [[Category:5-tone scales]]
 [[Category:6-tone scales]]
+[[Category:15edo]]
+{{Todo| cleanup | review }}