159edo: Difference between revisions

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=== MOSes and other scales ===

No less than five possible generators for the [[5L 2s|diatonic]] [[MOS ~~Scale~~]] are supported by 159edo. The 91\159 generator results in large and small scale steps at 23\159 and 22\159 respectively, making for a quasi-equalized scale, while the 95\159 results in large and small scale steps at 31\159 and 2\159 respectively, making for a version approaching paucitonic, as well as a [[5L 22s|reinatonic]] MOS. The 92\159 generator results in large and small scale steps at 25\159 and 17\159 respectively, and this makes for a very meantone-like diatonic scale perfect for xenharmonic pieces that follow in the classical tradition. Conversely, the 94\159 generator results in results in large and small scale steps at 29\159 and 7\159 respectively, and this makes for a superpyth diatonic scale that is slightly harder and better than that of [[22edo]], as well as an [[22L 5s|antireinatonic]] MOS. Finally, the patent 93\159 generator results in the same diatonic MOS scale found in 53edo, which, despite now having competition from other possible generators, is still the go-to for those looking for something more akin to the classic [[Pythagorean tuning]], as well as for those looking to deal with good approximations of related 5-limit scales, or even just the basic form of the [[12L 29s|pythamystonic]] MOS.

No less than five possible generators for the [[5L 2s|diatonic]] [[MOS]] Scale are supported by 159edo, though these different diatonic scales have different descendants. The 91\159 generator results in large and small scale steps at 23\159 and 22\159 respectively, making for a quasi-equalized scale, while the 95\159 results in large and small scale steps at 31\159 and 2\159 respectively, making for a version approaching paucitonic, as well as a [[5L 22s|reinatonic]] MOS. The 92\159 generator results in large and small scale steps at 25\159 and 17\159 respectively, and this makes for a very meantone-like diatonic scale perfect for xenharmonic pieces that follow in the classical tradition. Conversely, the 94\159 generator results in results in large and small scale steps at 29\159 and 7\159 respectively, and this makes for a superpyth diatonic scale that is slightly harder and better than that of [[22edo]], as well as an [[22L 5s|antireinatonic]] MOS. Finally, the patent 93\159 generator results in the same diatonic MOS scale found in 53edo, which, despite now having competition from other possible generators, is still the go-to for those looking for something more akin to the classic [[Pythagorean tuning]], as well as for those looking to deal with good approximations of related 5-limit scales, or even just the basic form of the [[12L 29s|pythamystonic]] MOS.

In addition, 159edo has no less than four possible generators for the [[5L 3s|oneirotonic]] MOS scale, and of these, two of them are also supported by 53edo. The 60\159 generator results in large and small scale steps at 21\159 and 18\159 respectively, making for a distinctly ultra-soft scale, while the 63\159 generator results in large and small scale steps at 30\159 and 3\159 respectively, making for a distinctly ultra-hard scale. As for the remaining two generators, the 61\159 generator results in large and small scale steps at 24\159 and 13\159 respectively and comes the closest to any sort of basic form of this scale, however, the 62\159 generator is also a solid choice, and is also useful for at least one related non-MOS scale due to 62\159 approximating [[21/16]]. Furthermore, this EDO supports [[Wyschnegradsky]]'s "[[11L 2s|Diatonicized Chromatic Scale]]" with large and small scale steps at 13\159 and 8\159 respectively.

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 === MOSes and other scales ===
-No less than five possible generators for the [[5L 2s|diatonic]] [[MOS Scale]] are supported by 159edo. The 91\159 generator results in large and small scale steps at 23\159 and 22\159 respectively, making for a quasi-equalized scale, while the 95\159 results in large and small scale steps at 31\159 and 2\159 respectively, making for a version approaching paucitonic, as well as a [[5L 22s|reinatonic]] MOS. The 92\159 generator results in large and small scale steps at 25\159 and 17\159 respectively, and this makes for a very meantone-like diatonic scale perfect for xenharmonic pieces that follow in the classical tradition. Conversely, the 94\159 generator results in results in large and small scale steps at 29\159 and 7\159 respectively, and this makes for a superpyth diatonic scale that is slightly harder and better than that of [[22edo]], as well as an [[22L 5s|antireinatonic]] MOS. Finally, the patent 93\159 generator results in the same diatonic MOS scale found in 53edo, which, despite now having competition from other possible generators, is still the go-to for those looking for something more akin to the classic [[Pythagorean tuning]], as well as for those looking to deal with good approximations of related 5-limit scales, or even just the basic form of the [[12L 29s|pythamystonic]] MOS.
+No less than five possible generators for the [[5L 2s|diatonic]] [[MOS]] Scale are supported by 159edo, though these different diatonic scales have different descendants. The 91\159 generator results in large and small scale steps at 23\159 and 22\159 respectively, making for a quasi-equalized scale, while the 95\159 results in large and small scale steps at 31\159 and 2\159 respectively, making for a version approaching paucitonic, as well as a [[5L 22s|reinatonic]] MOS. The 92\159 generator results in large and small scale steps at 25\159 and 17\159 respectively, and this makes for a very meantone-like diatonic scale perfect for xenharmonic pieces that follow in the classical tradition. Conversely, the 94\159 generator results in results in large and small scale steps at 29\159 and 7\159 respectively, and this makes for a superpyth diatonic scale that is slightly harder and better than that of [[22edo]], as well as an [[22L 5s|antireinatonic]] MOS. Finally, the patent 93\159 generator results in the same diatonic MOS scale found in 53edo, which, despite now having competition from other possible generators, is still the go-to for those looking for something more akin to the classic [[Pythagorean tuning]], as well as for those looking to deal with good approximations of related 5-limit scales, or even just the basic form of the [[12L 29s|pythamystonic]] MOS.
 In addition, 159edo has no less than four possible generators for the [[5L 3s|oneirotonic]] MOS scale, and of these, two of them are also supported by 53edo. The 60\159 generator results in large and small scale steps at 21\159 and 18\159 respectively, making for a distinctly ultra-soft scale, while the 63\159 generator results in large and small scale steps at 30\159 and 3\159 respectively, making for a distinctly ultra-hard scale. As for the remaining two generators, the 61\159 generator results in large and small scale steps at 24\159 and 13\159 respectively and comes the closest to any sort of basic form of this scale, however, the 62\159 generator is also a solid choice, and is also useful for at least one related non-MOS scale due to 62\159 approximating [[21/16]]. Furthermore, this EDO supports [[Wyschnegradsky]]'s "[[11L 2s|Diatonicized Chromatic Scale]]" with large and small scale steps at 13\159 and 8\159 respectively.