22edo/Unque's compositional approach: Difference between revisions

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'''NOTE: This page is currently under construction, and will be subject to major expansion in the near future. Coma back soon!'''

[[22edo|22 Equal Divisions of the Octave]] is arguably the smallest EDO to support the full 11-limit; it is also the intersection of many popular temperaments such as [[Superpyth]], [[Porcupine]], [[Orwell]], and [[Magic]]. Additionally, fans of 15edo will likely be drawn to 22edo due to the latter being quite useful as an extension of the former that represents many low-complexity intervals with higher accuracy. On this page, I will present my personal experience with 22edo, and hopefully provide a potential framework that others may use to begin their own journeys through the colorful world of 22 Equal Divisions of the Octave.

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|8\22

|436.3

|[[9/7]]

|[[9/7]], [[14/11]]

|[[Sensamagic]]

|E

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|14\22

|763.6

|[[14/9]]

|[[14/9]], [[11/7]]

|Sensamagic

|Ab

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22edo has two pairs of thirds: a major/minor pair, and a supermajor/subminor pair; despite most often being viewed as an 11-limit system, it lacks clear representation for the neutral thirds that are characteristic of 11-limit harmony.

The subminor third at 5\22 represents 7/6 with moderate accuracy, though it is significantly less consonant than the JI representation. Its fifth compliment is the supermajor third at 8\22, which is an excellent representation of 9/7. This interval is perhaps better paired with 14\22 than with 13\22, as the former can be interpreted as 11/7.

The subminor third at 5\22 represents 7/6 with moderate accuracy, though it is significantly less consonant than the JI representation. Its fifth compliment is the supermajor third at 8\22, which is an excellent representation of 9/7. This interval is perhaps better paired with 14\22 than with 13\22, as the former can be interpreted as 11/7 and thus provides the more consonant otonal 7:9:11 triad.

The minor third at 6\22 is contentious in its interpretation; it is quite sharp as a representation of 6/5, though not sharp enough to constitute a neutral third. Its fifth complement, the major third at 7\22, is a much clearer 5/4, the two being practically indistinguishable to the untrained ear.

== Scales ==

=== 5L 2s ===

The [[5L 2s]] scale is one of two types of Diatonic scales represented in 22edo, and represents 2.3.7 subgroup shade of Diatonic popularized by the Greek mathematician Archytas.

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+'''NOTE: This page is currently under construction, and will be subject to major expansion in the near future.  Coma back soon!'''
 [[22edo|22 Equal Divisions of the Octave]] is arguably the smallest EDO to support the full 11-limit; it is also the intersection of many popular temperaments such as [[Superpyth]], [[Porcupine]], [[Orwell]], and [[Magic]].  Additionally, fans of 15edo will likely be drawn to 22edo due to the latter being quite useful as an extension of the former that represents many low-complexity intervals with higher accuracy.  On this page, I will present my personal experience with 22edo, and hopefully provide a potential framework that others may use to begin their own journeys through the colorful world of 22 Equal Divisions of the Octave.
@@ Line 65: / Line 67: @@
 |8\22
 |436.3
-|[[9/7]]
+|[[9/7]], [[14/11]]
 |[[Sensamagic]]
 |E
@@ Line 107: / Line 109: @@
 |14\22
 |763.6
-|[[14/9]]
+|[[14/9]], [[11/7]]
 |Sensamagic
 |Ab
@@ Line 172: / Line 174: @@
 edo has two pairs of thirds: a major/minor pair, and a supermajor/subminor pair; despite most often being viewed as an 11-limit system, it lacks clear representation for the neutral thirds that are characteristic of 11-limit harmony.
-The subminor third at 5\22 represents 7/6 with moderate accuracy, though it is significantly less consonant than the JI representation.  Its fifth compliment is the supermajor third at 8\22, which is an excellent representation of 9/7.  This interval is perhaps better paired with 14\22 than with 13\22, as the former can be interpreted as 11/7.
+The subminor third at 5\22 represents 7/6 with moderate accuracy, though it is significantly less consonant than the JI representation.  Its fifth compliment is the supermajor third at 8\22, which is an excellent representation of 9/7.  This interval is perhaps better paired with 14\22 than with 13\22, as the former can be interpreted as 11/7 and thus provides the more consonant otonal 7:9:11 triad.
+The minor third at 6\22 is contentious in its interpretation; it is quite sharp as a representation of 6/5, though not sharp enough to constitute a neutral third.  Its fifth complement, the major third at 7\22, is a much clearer 5/4, the two being practically indistinguishable to the untrained ear.
 {{Todo|todo:=expand|inline=1}}
+== Scales ==
+=== 5L 2s ===
+The [[5L 2s]] scale is one of two types of Diatonic scales represented in 22edo, and represents 2.3.7 subgroup shade of Diatonic popularized by the Greek mathematician Archytas.