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10L 3s: Difference between revisions

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{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}  
 
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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== Modes ==
== Modes ==
{| class="wikitable"
=== Proposed names ===
|-
Names based on the [[wikipedia:Hebrew_calendar|Hebrew calendar]] have been proposed as mode names.
! | Circle of fifths
{{MOS modes|Mode Names=Tishrei; Sivan; Adar minor; Cheshvan; Tammuz; Adar major; Kislev; Av; Nisan; Tevet; Elul; Iyar; Shvat}}
! | Ascending scale
 
! | Mode
=== Degrees ===
|-
{{MOS mode degrees}}
| | I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X
 
| | L L L L s L L L s L L L s
== Intervals ==
| | Tishrei
{{MOS intervals}}
|-
| | 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
| | L L s L L L s L L L s L L
| | 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
|-
| | vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III
| | L L L s L L L s L L L L s
| | Adar minor
|-
| | iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII
| | L L s L L L s L L L L s L
| | Adar major
|-
| | xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII
| | L s L L L s L L L L s L L
| | Nisan
|-
| | viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV
| | s L L L s L L L L s L L L
| | Iyar
|-
| | iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII
| | L L L s L L L L s L L L s
| | Sivan
|-
| | xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX
| | L L s L L L L s L L L s L
| | Tammuz
|-
| | ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V
| | L s L L L L s L L L s L L
| | Av
|-
| | v-ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I
| | s L L L L s L L L s L L L
| | Elul
|}


== Scale tree ==
== Scale tree ==
{{Scale tree}}
{{MOS tuning spectrum}}
 
[[Category:13-tone scales]]
[[Category:13-tone scales]]
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