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Rank-3 scale: Difference between revisions

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→List of named rank-3 scales: These are all ternary scales.
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'''Conjecture:''' ''abacaba'' and ''aabaabaac'' are the only SN scales with mean variety = 3.
'''Conjecture:''' ''abacaba'' and ''aabaabaac'' are the only SN scales with mean variety = 3.


== List of named rank-3 scales ==
The following is a list of (temperament-agnostic) names that have been given to 3-step scales.
=== 7 notes ===
* [[nicetone]] (3L 2M 2S)
* [[omnidiatonic]] (2L 3M 2S)
* [[smicot]] (3L 1M 3S)


=== 8 notes ===
* [[porcusmine]] (4L 3M 1S)
* [[pinedye]] (5L 2M 1S)
=== 9 notes ===
* [[diasem]] (5L 2M 2S)
* [[armozan]] (2L 5M 2S)
* [[balgram]] (2L 2M 5S)
=== 10 notes ===
* [[blackdye]] (5L 2M 3S)
* [[blackville]] (2L 5M 3S)
=== 11 notes ===
* [[diamech]] (5L 2M 4S)
* [[semion]] (5L 3M 3S)
=== 12 notes ===
* [[diachromedye]] (5L 2M 5S)
=== 14 notes ===
* [[whitedye]] (5L 2M 7S)
[[Category:Rank-3 scales| ]] <!--main article-->
[[Category:Rank-3 scales| ]] <!--main article-->
[[Category:Rank 3]]
[[Category:Rank 3]]
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