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| This MOS has generators which range between 0 and 133.333 cents and three periods per octave and runs Lss Lss Lss.
| | {{Infobox MOS |
| | | Periods = 3 |
| | | nLargeSteps = 3 |
| | | nSmallSteps = 6 |
| | | Equalized = 1 |
| | | Collapsed = 0 |
| | | Pattern = LssLssLss |
| | | Name = tcherepnin |
| | }} |
| | {{MOS intro}} |
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| {| class="wikitable"
| | == 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). |
| ! colspan="5" | Generator
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| ! | Cents
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| ! | Comments
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| |-
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| | | 0\3
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| | | 0
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| | style="text-align:center;" |
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| |-
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| | | 1\21
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| | | 57.143
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| |-
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| | | 1\18
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| | | 66.667
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| | style="text-align:center;" | L/s=4
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| |-
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| | | 400/(2+pi)
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| |-
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| | | 1\15
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| | | 80
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| | style="text-align:center;" | L/s=3
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| |-
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| | | 400/(2+e)
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| |-
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| | | 3\42
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| | | 85.714
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| |-
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| | | 400/(3+phi)
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| |-
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| | | 2\27
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| | | 88.889
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| | style="text-align:center;" | Augene is around here
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| |-
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| | | 1\12
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| | | 100
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| | style="text-align:center;" | Boundary of propriety (generators
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| larger than this are proper)
| | == Scale properties == |
| |-
| | {{TAMNAMS use}} |
| | |
| | |
| | |
| | === Intervals === |
| | |
| | {{MOS intervals}} |
| | |
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| | |
| | === Generator chain === |
| | | 400/(2+sqrt(3))
| | {{MOS genchain}} |
| | |
| | |
| |-
| | === Modes === |
| | |
| | {{MOS mode degrees}} |
| | |
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| | |
| | == Scale tree == |
| | | 3\33
| | {{MOS tuning spectrum |
| | | | | | 9/5 = August |
| | | 109.091 | | | 12/5 = Augene |
| | style="text-align:center;" | August is around here | | | 11/4 = August |
| |- | | | 10/3 = Inflated |
| | | | | | 6/1 = Hemiug, hemiaug ↓ |
| | |
| | }} |
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| | == External links == |
| | |
| | * Piano Encyclopedia, on Tcherepnin's 9-note scale: https://pianoencyclopedia.com/scales/tcherepnin-nine-note-mode-i/ |
| | | 400/(2+phi)
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| | [[Category:Tcherepnin| ]] |
| |-
| | [[Category:9-tone scales]] |
| | |
| | <!--main article--> |
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| | | 5\54
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| | | 111.111
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| |-
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| | | 400/(2+pi/2)
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| |-
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| | | | |
| | | 2\21
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| | | 114.286
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| | style="text-align:center;" |
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| |-
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| | | 3\30
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| | | 120
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| | style="text-align:center;" |
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| |-
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| | | 4\39
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| | | 123.077
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| |-
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| | | 1\9
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| | | 133.333
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| | style="text-align:center;" |
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| |}
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| .
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