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User:Moremajorthanmajor/9L 4s (7/2-equivalent): Difference between revisions

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{{Infobox MOS|Tuning=9L 4s<7/2>}}
{{Infobox MOS|Tuning=9L 4s<7/2>}}
{{MOS intro|Scale Signature=9L 4s⟨7/2⟩}}


'''Shōsūshī''' - so named because of the four small steps in its diatonic MOS - is an excellent 8*-limit temperament tempering out 64/63.
'''Shōsūshī''' - so named because of the four small steps in its diatonic MOS - is an excellent 8*-limit temperament tempering out 64/63.
Line 13: Line 15:
Thus the [[22ed7/2]] gamut is as follows:
Thus the [[22ed7/2]] gamut is as follows:


'''く/み#''' か/そ '''す''' さ/と '''つ/の ぬ/た''' な/ほ '''ふ''' は/も '''む''' ま/よ ゆ/け '''き/や''' き#/せ '''し''' し#/て '''ち/ね''' '''ち#/に''' に#/へ '''ひ''' ひ#/め '''み/こ'''
'''く/み#''' か/そ '''す''' さ/と '''つ/の ぬ/た''' な/ほ '''ふ''' は/も '''む''' ま/よ '''ゆ/け''' '''き/や''' き#/せ '''し''' し#/て '''ち/ね''' '''ち#/に''' に#/へ '''ひ''' ひ#/め '''み/こ'''


The [[31ed7/2]] gamut is notated as follows:
The [[31ed7/2]] gamut is notated as follows:
Line 831: Line 833:
|m
|m
|P
|P
|P
 
|d
|m
|m
|-
|-
Line 847: Line 850:
|m
|m
|P
|P
|P
|d
|m
|m
|-
|-
|Locrian  
|Locrian
|sLLsLLLsLLsLL
|sLLsLLLsLLsLL
|<nowiki>2|10</nowiki>
|<nowiki>2|10</nowiki>
Line 857: Line 860:
|P
|P
|d
|d
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Locrian b8
|sLLsLLsLLLsLL
|<nowiki>1|11</nowiki>
|m
|m
|P
|d
|m
|m
|d
|m
|m
|P
|d
|m
|-
|Locrian b8 b11
|sLLsLLsLLsLLL
|<nowiki>0|12</nowiki>
|m
|m
|P
|d
|m
|m
|d
|m
|m
|d
|d
|m
|}
=== Cyclic Permutation Order ===
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
!4th
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|Mixolydian b10 (Persian)
|LLsLLsLLsLLLs
|<nowiki>9|3</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|m
|P
|P
|M
|-
|Phrygian ♮2
|LsLLsLLsLLLsL
|<nowiki>5|7</nowiki>
|M
|m
|P
|P
|m
|m
|m
|m
Line 876: Line 968:
|m
|m
|d
|d
|m
|m
|P
|d
|m
|-
|Mixolydian
|LLsLLsLLLsLLs
|<nowiki>10|2</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|M
|P
|P
|M
|-
|Minor
|LsLLsLLLsLLsL
|<nowiki>6|6</nowiki>
|M
|m
|P
|P
|m
|m
|P
|M
|m
|P
|P
|m
|-
|Locrian
|sLLsLLLsLLsLL
|<nowiki>2|10</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Major b14
|LLsLLLsLLsLLs
|<nowiki>11|1</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Dorian b13
|LsLLLsLLsLLsL
|<nowiki>7|5</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Locrian ♮5
|sLLLsLLsLLsLL
|<nowiki>3|9</nowiki>
|m
|m
|P
|P
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Lydian Dominant ♮11
|LLLsLLsLLsLLs
|<nowiki>12|0</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Aeolian Dominant ♮6
|LLsLLsLLsLLsL
|<nowiki>8|4</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Locrian ♮2 ♮5
|LsLLsLLsLLsLL
|<nowiki>4|8</nowiki>
|M
|m
|P
|P
|m
|m
|P
|m
|m
|m
|m
Line 907: Line 1,143:
[[Comma]] list: [[64/63]]
[[Comma]] list: [[64/63]]


[[POL2]] generator: ~4/3 = 486.8323
[[POL2]] generator: ~4/3 = 486.8323¢


[[Mapping]]: [{{Val|1 1 2}}, {{Val|0 -2 -5}}]
[[Mapping]]: [{{Val|1 1 2}}, {{Val|0 -2 -5}}]
Line 915: Line 1,151:
== Scale tree ==
== Scale tree ==
The spectrum looks like this:
The spectrum looks like this:
{{Scale tree | 9L 4s <7/2>}}
{{MOS tuning spectrum|Scale Signature=9L 4s <7/2>}}
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/9L_4s_(7/2-equivalent)"