22edo/Unque's compositional approach: Difference between revisions
Notated chromatic modes |
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|<nowiki>4|0</nowiki> | |<nowiki>4|0</nowiki> | ||
|LmLsLmLsLs | |LmLsLmLsLs | ||
|C - C♯ - E♭ - E - F - F# - | |C - C♯ - E♭ - E - F - F# - ^G - ^G♯ - B♭ - B - C | ||
|Aeolian | |Aeolian | ||
|Contains the Wolf fifth ( | |Contains the Wolf fifth (^G) | ||
|- | |- | ||
|<nowiki>3|1</nowiki> | |<nowiki>3|1</nowiki> | ||
| Line 499: | Line 499: | ||
|<nowiki>0|4</nowiki> | |<nowiki>0|4</nowiki> | ||
|sLsLmLsLmL | |sLsLmLsLmL | ||
|C - D♭ - D - | |C - D♭ - D - vF♭ - vF - G♭ - G - A♭ - A - C♭ - C | ||
|Mixolydian | |Mixolydian | ||
| | |Contains the Wolf fourth (vF) | ||
|} | |} | ||
Where disambiguation is needed between the modes of 5L 7s and 5L 2M 2s, the former can be described as "chromatic," and the latter as "blackdye." | Where disambiguation is needed between the modes of 5L 7s and 5L 2M 2s, the former can be described as "chromatic," and the latter as "blackdye." | ||
=== 2L 8s === | === 2L 8s === | ||
The [[2L 8s]] scale is another characteristic scale of 22edo, which was discovered independently by [[Paul Erlich]], [[Gene Ward Smith]], and Olivier Messiaen (though the latter theorist documented [https://ianring.com/musictheory/scales/3055 the scale's analog in 12edo] rather than in 22). | The [[2L 8s]] scale is another characteristic scale of 22edo, which was discovered independently by [[Paul Erlich]], [[Gene Ward Smith]], and [[wikipedia:Olivier_Messiaen|Olivier Messiaen]] (though the latter theorist documented [https://ianring.com/musictheory/scales/3055 the scale's analog in 12edo] rather than in 22). | ||
This scale is a mode of limited transposition, which means that it has some amount of rotational symmetry. In this case, the semioctave is the axis of symmetry, and transposing a mode up by 11 steps of 22edo (or 6 steps of 12edo in the case of Messiaen's works) yields the same set of pitches as the mode on which you started. | This scale is a mode of limited transposition, which means that it has some amount of rotational symmetry. In this case, the semioctave is the axis of symmetry, and transposing a mode up by 11 steps of 22edo (or 6 steps of 12edo in the case of Messiaen's works) yields the same set of pitches as the mode on which you started. | ||
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|<nowiki>8|0</nowiki> | |<nowiki>8|0</nowiki> | ||
|LssssLssss | |LssssLssss | ||
| | |C - C♯ - ^D - D♯ - ^E - E♯ - ^G - G♯ - ^A - A♯ - C | ||
|Wolf Minor | |Wolf Minor | ||
|Contains the wolf fifth | |Contains the wolf fifth (^G) | ||
|- | |- | ||
|<nowiki>6|2</nowiki> | |<nowiki>6|2</nowiki> | ||
|sLssssLsss | |sLssssLsss | ||
| | |C - vC♯ - ^D - D♯ - ^E - E♯ - G - G♯ - ^A - A♯ - C | ||
|Dynamic Major | |Dynamic Major | ||
|Dual thirds are subminor and major | |Dual thirds are subminor and major | ||
| Line 533: | Line 533: | ||
|<nowiki>4|4</nowiki> | |<nowiki>4|4</nowiki> | ||
|ssLssssLss | |ssLssssLss | ||
| | |C - vC♯ - D - D♯ - ^E - E♯ - G - vG♯ - ^A - A♯ - C | ||
|Static Major | |Static Major | ||
|Laterally symmetrical (flipping the scale upside-down yields the same pitches) | |Laterally symmetrical (flipping the scale upside-down yields the same pitches) | ||
| Line 539: | Line 539: | ||
|<nowiki>2|6</nowiki> | |<nowiki>2|6</nowiki> | ||
|sssLssssLs | |sssLssssLs | ||
| | |C - vC♯ - D - vD♯ - ^E - E♯ - G - vG♯ - A - A♯ - C | ||
|Static Minor | |Static Minor | ||
|Messiaen treated this rotation as the "default" | |Messiaen treated this rotation as the "default" | ||
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|<nowiki>0|8</nowiki> | |<nowiki>0|8</nowiki> | ||
|ssssLssssL | |ssssLssssL | ||
| | |C - vC♯ - D - vD♯ - E - E♯ - G - vG♯ - A - vA♯ - C | ||
|Dynamic Minor | |Dynamic Minor | ||
|Dual thirds are minor and supermajor | |Dual thirds are minor and supermajor | ||
|} | |} | ||