13edo: Difference between revisions

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| Prime factorization = 13 (prime)

| Step size = 92.30769¢

~~Relative Radian = 14.69123¢~~

| Fifth = 8\13 (738¢)

| Major 2nd = 3\13 (277¢)

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== Mapping to Standard Keyboards ==

The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 ~~[[Tel:~~8 (13) 5 10 2 7 12 4 9 1~~|8 (13) 5 10 2 7 12 4 9 1]]~~/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.

The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 8 (13) 5 10 2 7 12 4 9 1/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.

{| class="wikitable"

@@ Line 8: / Line 8: @@
 | Prime factorization = 13 (prime)
 | Step size = 92.30769¢
-Relative Radian = 14.69123¢
 | Fifth = 8\13 (738¢)
 | Major 2nd = 3\13 (277¢)
@@ Line 439: / Line 438: @@
 == Mapping to Standard Keyboards ==
-The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 [[Tel:8 (13) 5 10 2 7 12 4 9 1|8 (13) 5 10 2 7 12 4 9 1]]/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.
+The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 8 (13) 5 10 2 7 12 4 9 1/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.
 {| class="wikitable"