29edo/Unque's compositional approach: Difference between revisions

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Noted "division of the fourth" scales
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|C - E𝄫 - F♭ - G♭ - A♭ - B♭ - C
|C - E𝄫 - F♭ - G♭ - A♭ - B♭ - C
|Tsohorayim
|Tsohorayim
|}
=== 7L 1s ===
One interesting structural property of 29edo is that the perfect fourth, at twelve steps wide, is highly divisible.  This allows it to be split into various divisors that can be used to access harmonies that are all at once familiar and alien.  Specifically, splitting the fourth into three steps, we find a downmajor second and upminor third leading to it, and we can extend this pattern to create [[7L 1s|an 8-note scale]].
The mode names for this scale are given by Willian Lynch.
{| class="wikitable sortable mw-collapsible"
|+Modes of 7L 1s
!Gens Up
!Step Pattern
!Notation
!Name (Lynch)
|-
|7
|LLLLLLLs
|C - vD - ^E♭ - F - vG - ^A♭ - B♭ - vC - C
|Octopus
|-
|6
|LLLLLLsL
|C - vD - ^E♭ - F - vG - ^A♭ - B♭ - ^B♭ - C
|Mantis
|-
|5
|LLLLLsLL
|C - vD - ^E♭ - F - vG - ^A♭ - vA - ^B♭ - C
|Dolphin
|-
|4
|LLLLsLLL
|C - vD - ^E♭ - F - vG - G - vA - ^B♭ - C
|Crab
|-
|3
|LLLsLLLL
|C - vD - ^E♭ - F - ^F - G - vA - ^B♭ - C
|Tuna
|-
|2
|LLsLLLLL
|C - vD - ^E♭ - vE - ^F - G - vA - ^B♭ - C
|Salmon
|-
|1
|LsLLLLLL
|C - vD - D - vE - ^F - G - vA - ^B♭ - C
|Starfish
|-
|0
|sLLLLLLL
|C - ^C - D - vE - ^F - G - vA - ^B♭ - C
|Whale
|}
|}


=== 5L 4s ===
=== 5L 4s ===
The [[5L 4s]] scale is the first truly unusual scale in 29edo, being created via a stack of perfect chthonic intervalsThis means that every second interval in the chain will represent an interval from the familiar circle of fifths, whereas each interval between them will be an entirely alien interordinal.
The [[5L 4s]] scale follows from similar principles to 7L 1s, this time splitting the perfect fourth in two parts rather than threeContinuing this sequence provides a 9-note scale that is significantly more alien than the previous, due to its repeated inclusion of true interordinal intervals.


The mode names for this scale are given by [[User:Inthar|Inthar]].
The mode names for this scale are given by [[User:Inthar|Inthar]].
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|8
|8
|LLsLsLsLs
|LLsLsLsLs
|C - D - E - ^E - ^F♯ - G - A - vB♭ - ^B - C
|C - D - E - ^E - ^F♯ - G - A - ^A - ^B - C
|Cristacan
|Cristacan
|-
|-
|7
|7
|LsLLsLsLs
|LsLLsLsLs
|C - D - ^D - ^E - ^F♯ - G - A - vB♭ - ^B - C
|C - D - ^D - ^E - ^F♯ - G - A - ^A - ^B - C
|Pican
|Pican
|-
|-
|6
|6
|LsLsLLsLs
|LsLsLLsLs
|C - D - ^D - ^E - F - G - A - vB♭ - ^B - C
|C - D - ^D - ^E - F - G - A - ^A - ^B - C
|Stellerian
|Stellerian
|-
|-
|5
|5
|LsLsLsLLs
|LsLsLsLLs
|C - D - ^D - ^E - F - G - ^G - vB♭ - ^B - C
|C - D - ^D - ^E - F - G - ^G - ^A - ^B - C
|Podocian
|Podocian
|-
|-
|4
|4
|LsLsLsLsL
|LsLsLsLsL
|C - D - ^D - ^E - F - G - ^G - vB♭ - B♭ - C
|C - D - ^D - ^E - F - G - ^G - ^A - B♭ - C
|Nucifragan
|Nucifragan
|-
|-
|3
|3
|sLLsLsLsL
|sLLsLsLsL
|C - ^C - ^D - ^E - F - G - ^G - vB♭ - B♭ - C
|C - ^C - ^D - ^E - F - G - ^G - ^A - B♭ - C
|Coracian
|Coracian
|-
|-
|2
|2
|sLsLLsLsL
|sLsLLsLsL
|C - ^C - ^D - E♭ - F - G - ^G - vB♭ - B♭ - C
|C - ^C - ^D - E♭ - F - G - ^G - ^A - B♭ - C
|Frugilegian
|Frugilegian
|-
|-
|1
|1
|sLsLsLLsL
|sLsLsLLsL
|C - ^C - ^D - E♭ - F - ^F - ^G - vB♭ - B♭ - C
|C - ^C - ^D - E♭ - F - ^F - ^G - ^A - B♭ - C
|Temnurial
|Temnurial
|-
|-