10L 3s: Difference between revisions

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~~This~~ is ~~the chromatic~~ scale ~~of the Sephiroth temperament explicated~~ on ~~the page for~~ [[~~3L_7s|~~3L 7s]]. ~~However, 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" modes the degrees are to be taken as numbered is 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.

{{Infobox MOS

| Name = luachoid

| Periods = 1

| nLargeSteps = 10

| nSmallSteps = 3

| Equalized = 4

| Paucitonic = 3

| Pattern = LLLLsLLLsLLLs

}}

'''10L 3s''' or '''luachoid''' is 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" modes the degrees are to be taken as numbered is 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.

{| class="wikitable"

|-

! | (Circle of fifths)

! | Circle of fifths

! | ~~(ascending~~ scale)

! | Ascending scale

! |

! | Mode

|-

| | 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

| | ~~Mode~~ Tishrei

| | Tishrei

|-

| | x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI

@@ Line 1: / Line 1: @@
-This is the chromatic scale of the Sephiroth temperament explicated on the page for [[3L_7s|3L 7s]]. However, 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" modes the degrees are to be taken as numbered is 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.
+{{User:IlL/Template:RTT restriction}}
+{{Infobox MOS
+| Name = luachoid
+| Periods = 1
+| nLargeSteps = 10
+| nSmallSteps = 3
+| Equalized = 4
+| Paucitonic = 3
+| Pattern = LLLLsLLLsLLLs
+}}
+'''10L 3s''' or '''luachoid''' is 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" modes the degrees are to be taken as numbered is 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.
 {| class="wikitable"
 |-
-! | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">(Circle of fifths)</span>
+! | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">Circle of fifths</span>
-! | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">(ascending scale)</span>
+! | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">Ascending scale</span>
-! |
+! | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">Mode</span>
 |-
 | | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X</span>
 | | L L L L s L L L s L L L s
-| | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">Mode Tishrei</span>
+| | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">Tishrei</span>
 |-
 | | <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">x-I</span><span style="font-size: 12.8000001907349px;">-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI</span>

10L 3s: Difference between revisions

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