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| {{Infobox MOS | | {{Infobox MOS}} |
| | Periods = 1
| | {{MOS intro}} |
| | nLargeSteps = 10
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| | nSmallSteps = 3
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| | Equalized = 4
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| | Collapsed = 3
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| | Pattern = LLLLsLLLsLLLs
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| }} | |
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| '''10L 3s''' is a scale pattern that expands on sephiroid ([[3L 7s]]). A tempered-flat chain of the 13th harmonic really comes into its own as a distinct scale when extended to 13 tones. In these "Luach" (Hebrew calendar) modes the degrees are to be taken as numbered in descending order so that the the tempered 13th harmonic is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking.
| | A tempered-flat chain of the 13th harmonic really comes into its own as a distinct scale when extended to 13 tones. In these "Luach" (Hebrew calendar) modes the degrees are to be taken as numbered in descending order so that the the tempered 13th harmonic is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking. |
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| 10L 3s does not have a [[TAMNAMS]] name, but other proposed names include "luachoid".
| | '''Luachoid''' is a proposed name for this scale. |
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| {| class="wikitable"
| | == Modes == |
| |-
| | === Proposed names === |
| ! | Circle of fifths
| | Names based on the [[wikipedia:Hebrew_calendar|Hebrew calendar]] have been proposed as mode names. |
| ! | Ascending scale
| | {{MOS modes|Mode Names=Tishrei; Sivan; Adar minor; Cheshvan; Tammuz; Adar major; Kislev; Av; Nisan; Tevet; Elul; Iyar; Shvat}} |
| ! | Mode
| |
| |-
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| | | I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X
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| | | L L L L s L L L s L L L s
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| | | Tishrei
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| |-
| |
| | | x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI
| |
| | | L L L s L L L s L L L s L
| |
| | | Cheshvan
| |
| |-
| |
| | | vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II
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| | | L L s L L L s L L L s L L
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| | | Kislev
| |
| |-
| |
| | | ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI
| |
| | | L s L L L s L L L s L L L
| |
| | | Tevet
| |
| |-
| |
| | | xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII
| |
| | | s L L L s L L L s L L L L
| |
| | | Shvat
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| |-
| |
| | | vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III
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| | | L L L s L L L s L L L L s
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| | | Adar minor
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| |-
| |
| | | iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII
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| | | L L s L L L s L L L L s L
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| | | Adar major
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| |-
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| | | xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII
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| | | L s L L L s L L L L s L L
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| | | Nisan
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| |-
| |
| | | viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV
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| | | s L L L s L L L L s L L L
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| | | Iyar
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| |-
| |
| | | iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII
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| | | L L L s L L L L s L L L s
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| | | Sivan
| |
| |-
| |
| | | xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX
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| | | L L s L L L L s L L L s L
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| | | Tammuz
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| |-
| |
| | | ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V
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| | | L s L L L L s L L L s L L
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| | | Av
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| |-
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| | | v-ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I
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| | | s L L L L s L L L s L L L
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| | | Elul
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| |}
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| {| class="wikitable"
| | === Degrees === |
| |-
| | {{MOS mode degrees}} |
| | | 3/10
| | |
| | |
| | == Intervals == |
| | | 360
| | {{MOS intervals}} |
| |-
| | |
| | | 16/53
| | == Scale tree == |
| | |
| | {{MOS tuning spectrum}} |
| | | 362.264
| |
| |-
| |
| | | 13/43
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| | |
| |
| | | 362.791
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| |-
| |
| | |
| |
| | |
| |
| | | 363.487
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| |-
| |
| | | 10/33
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| | |
| |
| | | 363.818
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| |-
| |
| | |
| |
| | |
| |
| | | 363.976
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| |-
| |
| | |
| |
| | | 27/89
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| | | 364.045
| |
| |-
| |
| | |
| |
| | |
| |
| | | 364.112
| |
| |-
| |
| | |
| |
| | | 17/56
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| | | 364.286
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| |-
| |
| | | 7/23
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| | |
| |
| | | 365.217
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| |-
| |
| | |
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| | |
| |
| | | 365.904
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| |-
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| | |
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| | | 18/59
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| | | 366.102
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| |-
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| | |
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| | |
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| | | 366.256
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| |-
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| | |
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| | | 29/95
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| | | 366.316
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| |-
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| | |
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| | |
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| | | 366.414
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| |-
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| | | 11/36
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| | |
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| | | 366.667
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| |-
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| | | 15/49
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| | |
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| | | 367.347
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| |-
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| | | 19/62
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| | |
| |
| | | 367.742
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| |-
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| | | 4/13
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| | |
| |
| | | 369.231
| |
| |}
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| [[Category:13-tone scales]] | | [[Category:13-tone scales]] |