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3L 6s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS
| Name = Tcherepnin
| Periods = 3
| Periods = 3
| nLargeSteps = 3
| nLargeSteps = 3
| nSmallSteps = 6
| nSmallSteps = 6
| Equalized = 1
| Equalized = 1
| Paucitonic = 0
| Collapsed = 0
| Pattern = LssLssLss
| Pattern = LssLssLss
| Name = tcherepnin
}}
}}
{{MOS intro}}


This MOS has generators which range between 0 and 133.333 cents and three periods per octave and runs Lss Lss Lss.
== Name ==
[[TAMNAMS]] suggests the temperaement-agnostic name '''tcherepnin''' for this scale. This is named after Alexander Tcherepnin's 9-note scale which, in 12edo, is notated as C Db Eb E F G Ab A B C, forming the step pattern of HWHHWHHWH in standard notation (assuming a root of C).


{| class="wikitable"
== Scale properties ==
|-
{{TAMNAMS use}}
! colspan="5" | Generator
! | Cents
! | Comments
|-
| | 0\3
| |
| |
| |
| |
| | 0
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 1\21
| | 57.143
| |
|-
| |
| |
| |
| | 1\18
| |
| | 66.667
| style="text-align:center;" | L/s=4
|-
| |
| |
| |
| |
| |
| | 400/(2+pi)
| |
|-
| |
| |
| | 1\15
| |
| |
| | 80
| style="text-align:center;" | L/s=3
|-
| |
| |
| |
| |
| |
| | 400/(2+e)
| |
|-
| |
| |
| |
| |
| | 3\42
| | 85.714
| |
|-
| |
| |
| |
| |
| |
| | 400/(3+phi)
| |
|-
| |
| |
| |
| | 2\27
| |
| | 88.889
| style="text-align:center;" | Augene is around here
|-
| |
| | 1\12
| |
| |
| |
| | 100
| style="text-align:center;" | Boundary of propriety (generators


larger than this are proper)
=== Intervals ===
|-
{{MOS intervals}}
| |
 
| |
=== Generator chain ===
| |
{{MOS genchain}}
| |
 
| |
=== Modes ===
| | 400/(2+sqrt(3))
{{MOS mode degrees}}
| |
 
|-
== Scale tree ==
| |
{{MOS tuning spectrum
| |
| 9/5 = August
| |
| 12/5 = Augene
| | 3\33
| 11/4 = August
| |
| 10/3 = Inflated
| | 109.091
| 6/1 = Hemiug, hemiaug ↓
| style="text-align:center;" | August is around here
}}
|-
 
| |
== External links ==
| |
* Piano Encyclopedia, on Tcherepnin's 9-note scale: https://pianoencyclopedia.com/scales/tcherepnin-nine-note-mode-i/
| |
 
| |
[[Category:Tcherepnin| ]]
| |
[[Category:9-tone scales]]
| | 400/(2+phi)
<!--main article-->
| |
|-
| |
| |
| |
| |
| | 5\54
| | 111.111
| |
|-
| |
| |
| |
| |
| |
| | 400/(2+pi/2)
| |
|-
| |
| |
| | 2\21
| |
| |
| | 114.286
| style="text-align:center;" |
|-
| |
| |
| |
| | 3\30
| |
| | 120
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 4\39
| | 123.077
| |
|-
| | 1\9
| |
| |
| |
| |
| | 133.333
| style="text-align:center;" |
|}
.
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