User:Moremajorthanmajor/9L 4s (minor fourteenth-equivalent): Difference between revisions

Line 1,474: Line 1,474:
|m
|m
|-
|-
|Minor b5 b9 b12
|Locrian ♮2
|LsLsLLLsLLsLL
|LsLsLLLsLLsLL
|<nowiki>12|0 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
|<nowiki>12|0 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
Line 1,592: Line 1,592:
|M
|M
|-
|-
|Dorian ♮10
|Dorian ♮10 b13
|LsLLLsLLLsLsL
|LsLLLsLLLsLsL
|<nowiki>5|7 #6 #10</nowiki>
|<nowiki>5|7 #6 #10</nowiki>
Line 1,720: Line 1,720:
|m
|m
|-
|-
|Minor b5 b9 b12
|Minor b5 b9
|LsLsLLLsLLLsL
|LsLsLLLsLLLsL
|<nowiki>10|2 b3 b5 b6 b7 b9 b12</nowiki>
|<nowiki>10|2 b3 b5 b6 b7 b9</nowiki>
|M
|M
|m
|m
Line 1,738: Line 1,738:
|Phrygian ♮9
|Phrygian ♮9
|sLLLsLLLsLLsL
|sLLLsLLLsLLsL
|<nowiki>9|3 b2 b3 b6 b9 b13 </nowiki>
|<nowiki>9|3 b2 b3 b6 b13 </nowiki>
|m
|m
|m
|m
Line 1,768: Line 1,768:
|m
|m
|-
|-
|Mixolydian Dominant
|Persian Dominant b9
|LLsLLsLsLLLsL
|LLsLLsLsLLLsL
|<nowiki>7|5 #3 #10</nowiki>
|<nowiki>7|5 #3 b9 b10</nowiki>
|M
|M
|m
|P
|P
|M
|M
|P
|m
|P
|P
|m
|m
|m
|m
|P
|P
|P
|M
|M
|M
|P
|P
|m
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 2,016: Line 2,016:
|}
|}
{| class="wikitable"
{| class="wikitable"
|+
!Mode
!Mode
!Scale
!Scale
Line 2,056: Line 2,055:
|Locrian b11
|Locrian b11
|sLLsLLLsLsLLL
|sLLsLLLsLsLLL
|<nowiki>11|1 b2 b3 b5 b6 b7 b10 b11 b12 b13</nowiki>
|<nowiki>11|1 b2 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
|m
|m
|m
|m
Line 2,072: Line 2,071:
|Phrygian b8
|Phrygian b8
|sLLLsLsLLLsLL
|sLLLsLsLLLsLL
|<nowiki>9|3 b2 b3 b6 b8 b9 b10 b13</nowiki>
|<nowiki>10|2 b2 b3 b4 b8 b9 b10 b12 b13</nowiki>
|m
|m
|m
|m
|P
|P
|d
|m
|m
|P
|P
|m
|m
|m
|m
|d
|d
|d
|m
|-
|Minor b5 b9 b12
|LsLsLLLsLLsLL
|<nowiki>9|3 b3 b5 b6 b9 b12 b13</nowiki>
|m
|m
|m
|m
Line 2,085: Line 2,093:
|P
|P
|m
|m
|-
|Phrygian ♮2 ♮6
|LsLLLsLsLLLsL
|<nowiki>8|4 b3 b13</nowiki>
|M
|m
|m
|P
|d
|P
|M
|m
|m
|P
|M
|m
|m
|P
|P
Line 2,102: Line 2,101:
|m
|m
|-
|-
|Phrygian  
|Phrygian
|sLLLsLLsLLLsL
|sLLLsLLsLLLsL
|<nowiki>7|5 b2 b6 b9 b13</nowiki>
|<nowiki>8|4 b6 b9 </nowiki>
|m
|m
|m
|m
Line 2,116: Line 2,115:
|P
|P
|P
|P
|m
|M
|-
|-
|Minor b5 b9 b12
|Minor b12
|LsLLsLLLsLsLL
|LsLLsLLLsLsLL
|<nowiki>6|6 b5 b9 b12</nowiki>
|<nowiki>7|5 b6 b12</nowiki>
|M
|m
|m
|m
|P
|P
|d
|P
|m
|m
|m
|m
Line 2,134: Line 2,133:
|m
|m
|-
|-
|Phrygian ♮2 ♮6
|Minor b9
|LsLLLsLsLLLsL
|LsLLLsLsLLLsL
|<nowiki>5|7 #6 #9</nowiki>
|<nowiki>6|6 b9</nowiki>
|M
|M
|m
|m
|P
|P
|P
|P
|M
|m
|m
|m
|P
|P
Line 2,152: Line 2,151:
|Hindu
|Hindu
|LLsLsLLLsLLsL
|LLsLsLLLsLLsL
|<nowiki>4|8 #9 #12</nowiki>
|<nowiki>5|7 #3 #9</nowiki>
|M
|M
|M
|M
|P
|P
|P
|P
|m
|M
|m
|m
|P
|P
Line 2,168: Line 2,167:
|Dorian
|Dorian
|LsLLLsLLsLLLs
|LsLLLsLLsLLLs
|<nowiki>3|9 #5 #6 #9 #12</nowiki>
|<nowiki>4|8 #6 #9 #10</nowiki>
|M
|M
|m
|m
Line 2,180: Line 2,179:
|P
|P
|P
|P
|M
|m
|-
|-
|Mixolydian Dominant
|Mixolydian Dominant
|LLsLLsLLLsLsL
|LLsLLsLLLsLsL
|<nowiki>2|10 #2 #3 #5 #9 #10 #12 </nowiki>
|<nowiki>3|9 #2 #3 #6 #9 #10 #12</nowiki>
|M
|M
|M
|m
|P
|P
|P
|P
|m
|M
|m
|m
|P
|P
Line 2,196: Line 2,195:
|P
|P
|P
|P
|m
|M
|-
|-
|Persian ♮7
|Persian ♮7
|LLsLLLsLsLLLs
|LLsLLLsLsLLLs
|<nowiki>1|11 #2 #3 #5 #6 #7 #8 #9 #12 #13</nowiki>
|<nowiki>2|10 #2 #3 #5 #6 #7 #9 #12 #13</nowiki>
|M
|M
|M
|M
Line 2,214: Line 2,213:
|M
|M
|-
|-
|Major #4 b14
|Lydian Dominant ♮11
|LLLsLsLLLsLLs
|LLLsLsLLLsLLs
|<nowiki>0|12 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 #13</nowiki>
|<nowiki>1|11 #2 #3 #4 #5 #6 #8 #9 #10 #12</nowiki>
|M
|M
|M
|M
Line 2,229: Line 2,228:
|P
|P
|M
|M
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>0|12 b4</nowiki>
|m
|m
|d
|d
|m
|m
|d
|m
|m
|d
|d
|m
|}
|}
{| class="wikitable"
{| class="wikitable"
|+
!Mode
!Mode
!Scale
!Scale
Line 2,253: Line 2,267:
!13th
!13th
|-
|-
|Mixolydian Dominant
|Lydian b14
|LLsLLsLLLsLsL
|LLLsLLsLLLsLs
|<nowiki>10|2 b13</nowiki>
|<nowiki>12|0 #11</nowiki>
|M
|M
|M
|M
|P
|P
|P
|P
|M
|M
|P
|M
|M
|A
|P
|M
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>11|1 b2 b3 b5 b6 b7 b9 b10 b12 b13</nowiki>
|m
|m
|m
|m
|P
|P
|M
|d
|m
|m
|m
|P
|P
|P
|m
|m
|d
|d
|m
|m
|-
|-
|Harmonic Minor
|Phrygian b8
|LsLLsLLLsLLLs
|sLLLsLsLLLsLL
|<nowiki>9|3 b3 b6</nowiki>
|<nowiki>10|2 b2 b3 b4 b8 b9 b10 b12 b13</nowiki>
|M
|m
|m
|m
|P
|P
|P
|d
|m
|m
|m
|m
|P
|P
|M
|m
|m
|d
|d
|m
|-
|Minor b5 b9 b12
|LsLsLLLsLLsLL
|<nowiki>9|3 b3 b5 b6 b9 b12 b13</nowiki>
|m
|m
|m
|P
|P
|P
|P
|M
|m
|-
|m
|Dorian ♮10
|d
|LsLLLsLLLsLsL
|m
|<nowiki>8|4 b3 b12</nowiki>
|M
|m
|m
|P
|P
|P
|P
|M
|m
|-
|Phrygian
|sLLLsLLsLLLsL
|<nowiki>8|4 b6 b9 </nowiki>
|m
|m
|m
|P
|P
|M
|P
|M
|m
|m
|P
|m
|m
|P
|P
|P
|P
|M
|M
|-
|-
|Ionian Dominant
|Minor b12
|LLsLLLsLLsLsL
|LsLLsLLLsLsLL
|<nowiki>7|5 #7 #10</nowiki>
|<nowiki>7|5 b6 b12</nowiki>
|M
|m
|M
|m
|P
|P
|P
|P
|M
|m
|M
|m
|P
|P
|M
|M
|M
|m
|P
|P
|P
|d
|m
|m
|-
|-
|Lydian b10 ♮11 b14
|Minor b9
|LLLsLLsLsLLLs
|LsLLLsLsLLLsL
|<nowiki>6|6 #3 #4 #6 #7 #10 #13</nowiki>
|<nowiki>6|6 b9</nowiki>
|M
|M
|M
|m
|A
|P
|P
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|Hindu
|LLsLsLLLsLLsL
|<nowiki>5|7 #3 #9</nowiki>
|M
|M
|M
|M
|P
|P
|P
|M
|M
|m
|m
|P
|P
|P
|M
|M
|-
|Locrian bb7 b8
|sLLsLsLLLsLLL
|<nowiki>5|7 b2 b5 bb7 b8 b12</nowiki>
|m
|m
|m
|P
|P
|d
|m
|d
|d
|m
|m
|P
|P
|d
|m
|m
|-
|-
|Locrian b4 b8 b11
|Dorian
|sLsLLLsLLLsLL
|LsLLLsLLsLLLs
|<nowiki>4|8 b2 b4 b5 b8 b11</nowiki>
|<nowiki>4|8 #6 #9 #10</nowiki>
|M
|m
|m
|P
|P
|M
|m
|m
|d
|P
|d
|M
|m
|m
|P
|P
|m
|m
|d
|-
|Mixolydian Dominant
|LLsLLsLLLsLsL
|<nowiki>3|9 #2 #3 #6 #9 #10 #12</nowiki>
|M
|m
|m
|P
|P
|M
|m
|m
|d
|P
|d
|m
|-
|Lydian #8 b14
|LLLsLLLsLLsLs
|<nowiki>3|9 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 #13</nowiki>
|M
|M
|M
|M
Line 2,373: Line 2,426:
|P
|P
|M
|M
|M
|-
|A
|Persian ♮7
|LLsLLLsLsLLLs
|<nowiki>2|10 #2 #3 #5 #6 #7 #9 #12 #13</nowiki>
|M
|M
|M
|M
|A
|P
|P
|P
|M
|M
|M
|-
|Locrian ♮5 b11
|sLLLsLLsLsLLL
|<nowiki>2|10 #5 b11</nowiki>
|m
|m
|P
|P
|P
|m
|m
|P
|m
|m
|d
|d
|m
|-
|Minor b8 b9 b12
|LsLLsLsLLLsLL
|<nowiki>1|11 #2 #5 b12</nowiki>
|M
|M
|m
|m
|P
|P
|P
|P
|M
|-
|Lydian Dominant ♮11
|LLLsLsLLLsLLs
|<nowiki>1|11 #2 #3 #4 #5 #6 #8 #9 #10 #12</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>0|12 b4</nowiki>
|m
|m
|m
|m
|d
|d
|d
|m
|m
|m
|m
|P
|d
|d
|m
|m
|-
|Minor b5 b9
|LsLsLLLsLLLsL
|<nowiki>0|12 #2 #5 #8 #11 #12</nowiki>
|M
|m
|m
|P
|d
|d
|M
|d
|m
|P
|m
|m
|P
|P
|m
|m
|}
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
|Phrygian ♮9
!name
|sLLLsLLLsLLsL
!pattern
|<nowiki>12|0 b2 b3 b4 b6 b7 b9 b10 b13</nowiki>
!notation
|m
!2nd
|m
!3rd
|P
!4th
|P
!5th
|m
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|Mixolydian Dominant
|LLsLLsLLLsLsL
|<nowiki>10|2 b13</nowiki>
|M
|M
|P
|P
|m
|m
|m
|P
|P
Line 2,445: Line 2,514:
|m
|m
|-
|-
|Dorian b12 b13
|Persian ♮7
|LsLLLsLLsLsLL
|LLsLLLsLsLLLs
|<nowiki>11|1 b3 b7 b10 b12 b13</nowiki>
|<nowiki>9|3 #7</nowiki>
|M
|M
|M
|m
|P
|P
|P
|P
|M
|M
|m
|M
|P
|P
|M
|M
|m
|m
|P
|P
|P
|M
|-
|Major #4 b14
|LLLsLsLLLsLLs
|<nowiki>8|4 #3 #4 #7 #10 #13 </nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|m
|m
|P
|P
|M
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>7|5 b2 b4 b5 b6 b8 b9 b10 b11 b12</nowiki>
|m
|m
|d
|d
|m
|m
|d
|m
|m
|d
|d
|m
|m
|}
=== Cyclic Permutation Order ===
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
!name
|Lydian b14
!pattern
|LLLsLLsLLLsLs
!notation
|<nowiki>6|6 #3 #4 #6 #7 #10 #11 #13</nowiki>
!2nd
|M
!3rd
|M
!4th
|A
!5th
|P
!6th
|M
!7th
|M
!8th
|P
!9th
!10th
!11th
!12th
!13th
|-
|Mixolydian b10 (Persian)
|LLsLLsLLsLLLs
|<nowiki>9|3</nowiki>
|M
|M
|M
|M
|P
|A
|P
|P
|M
|M
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>5|7 b2 b5 b6 b9 b11</nowiki>
|m
|m
|m
|P
|P
|M
|d
|m
|m
|m
|P
|P
|P
|m
|M
|m
|-
|d
|Phrygian ♮2
|d
|LsLLsLLsLLLsL
|m
|<nowiki>5|7</nowiki>
|-
|M
|Phrygian b8
|sLLLsLsLLLsLL
|<nowiki>4|8 b8 #12</nowiki>
|m
|m
|m
|P
|P
Line 2,511: Line 2,603:
|m
|m
|m
|m
|P
|d
|m
|m
|m
|m
Line 2,518: Line 2,610:
|m
|m
|-
|-
|Locrian b8
|Locrian ♮2
|sLLsLLsLLLsLL
|LsLsLLLsLLsLL
|<nowiki>1|11</nowiki>
|<nowiki>3|9 #5 #6 #7 #8 #9 #10 #12</nowiki>
|m
|M
|m
|m
|P
|P
|d
|d
|M
|m
|m
|P
|M
|m
|m
|d
|m
|m
|P
|P
|d
|P
|m
|m
|-
|-
|Mixolydian
|Phrygian
|LLsLLsLLLsLLs
|sLLLsLLsLLLsL
|<nowiki>10|2</nowiki>
|<nowiki>2|10 #5 #12</nowiki>
|M
|m
|M
|m
|P
|P
|P
|P
|M
|m
|m
|m
|P
|P
|M
|m
|M
|m
|P
|P
|P
|P
|M
|m
|-
|-
|Minor
|Minor b12
|LsLLsLLLsLLsL
|LsLLsLLLsLsLL
|<nowiki>6|6</nowiki>
|<nowiki>1|11 #2 #5 #6 #8 #9 #12</nowiki>
|M
|M
|m
|m
Line 2,563: Line 2,655:
|m
|m
|P
|P
|P
|d
|m
|m
|-
|-
|Locrian
|Phrygian ♮2 ♮6
|sLLsLLLsLLsLL
|LsLLLsLsLLLsL
|<nowiki>2|10</nowiki>
|<nowiki>0|12 #2 #5 #8 #11 #12</nowiki>
|M
|m
|m
|P
|P
|M
|m
|m
|P
|P
|d
|m
|m
|m
|m
|P
|P
|m
|m
|P
|P
|d
|m
|m
|-
|-
|Major b14
|Hindu
|LLsLLLsLLsLLs
|LLsLsLLLsLLsL
|<nowiki>11|1</nowiki>
|<nowiki>12|0 b3 b4 b7 b10</nowiki>
|M
|M
|M
|M
|P
|P
|P
|P
|M
|m
|M
|m
|P
|P
|M
|M
|M
|m
|P
|P
|P
|P
|M
|m
|-
|-
|Dorian b13
|Dorian
|LsLLLsLLsLLsL
|LsLLLsLLsLLLs
|<nowiki>7|5</nowiki>
|<nowiki>11|1 b3 b7 b10</nowiki>
|M
|M
|m
|m
Line 2,612: Line 2,704:
|P
|P
|P
|P
|m
|M
|}
 
=== Cyclic Permutation Order ===
{| class="wikitable"
|+
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
|Locrian ♮5
!name
|sLLLsLLsLLsLL
!pattern
|<nowiki>3|9</nowiki>
!notation
|m
!2nd
|m
!3rd
|P
!4th
|P
!5th
|m
!6th
|m
!7th
|P
!8th
|m
!9th
|m
!10th
|P
!11th
|d
!12th
|m
!13th
|-
|-
|Lydian ♮11 b14
|Mixolydian b10 (Persian)
|LLLsLLsLLsLLs
|LLsLLsLLsLLLs
|<nowiki>12|0</nowiki>
|<nowiki>9|3</nowiki>
|M
|M
|M
|M
|A
|P
|P
|P
|M
|M
|M
|m
|P
|P
|M
|M
|M
|m
|P
|P
|P
|P
|M
|M
|-
|-
|Hindu ♮6
|Phrygian ♮2
|LLsLLsLLsLLsL
|LsLLsLLsLLLsL
|<nowiki>8|4</nowiki>
|<nowiki>5|7</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|M
|m
|m
Line 2,661: Line 2,755:
|P
|P
|m
|m
|-
|Locrian ♮2 ♮5
|LsLLsLLsLLsLL
|<nowiki>4|8</nowiki>
|M
|m
|m
|P
|P
|P
|m
|m
|m
|m
|P
|P
|m
|m
|P
|P
|d
|m
|m
|-
|-
|Locrian b8 b11
|Locrian b8
|sLLsLLsLLsLLL
|sLLsLLsLLLsLL
|<nowiki>0|12</nowiki>
|<nowiki>1|11</nowiki>
|m
|m
|m
|m
Line 2,690: Line 2,775:
|m
|m
|m
|m
|d
|P
|d
|d
|m
|m
|}
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
|-
!name
|Mixolydian
!pattern
|LLsLLsLLLsLLs
!notation
|<nowiki>10|2</nowiki>
!2nd
|M
!3rd
|M
!4th
|P
!5th
|P
!6th
|M
!7th
|m
!8th
|P
!9th
!10th
!11th
!12th
!13th
|-
|Persian ♮7
|LLsLLLsLsLLLs
|<nowiki>9|3 #7</nowiki>
|M
|M
|M
|M
Line 2,724: Line 2,794:
|P
|P
|M
|M
|M
|-
|P
|Minor
|LsLLsLLLsLLsL
|<nowiki>6|6</nowiki>
|M
|M
|m
|m
|P
|P
|P
|P
|M
|-
|Phrygian ♮2 ♮6
|LsLLLsLsLLLsL
|<nowiki>5|7 #6</nowiki>
|M
|m
|m
|P
|m
|P
|P
|M
|M
|m
|P
|m
|m
|m
|P
|P
Line 2,748: Line 2,811:
|m
|m
|-
|-
|Phrygian
|Locrian
|sLLLsLsLLLsLL
|sLLsLLLsLLsLL
|<nowiki>5|7 b2</nowiki>
|<nowiki>2|10</nowiki>
|m
|m
|m
|m
|P
|P
|P
|d
|m
|m
|m
|m
Line 2,761: Line 2,824:
|m
|m
|P
|P
|P
|d
|m
|m
|-
|-
|Major #4 b14
|Major b14
|LLLsLsLLLsLLs
|LLsLLLsLLsLLs
|<nowiki>11|1 #4</nowiki>
|<nowiki>11|1</nowiki>
|M
|M
|M
|M
|A
|P
|P
|P
|M
|M
Line 2,780: Line 2,843:
|M
|M
|-
|-
|Hindu
|Dorian b13
|LLsLsLLLsLLsL
|LsLLLsLLsLLsL
|<nowiki>8|4 b6</nowiki>
|<nowiki>7|5</nowiki>
|M
|M
|M
|m
|P
|P
|P
|P
Line 2,796: Line 2,859:
|m
|m
|-
|-
|Locrian ♮2
|Locrian ♮5
|LsLsLLLsLLsLL
|sLLLsLLsLLsLL
|<nowiki>2|10 #2</nowiki>
|<nowiki>3|9</nowiki>
|M
|m
|m
|m
|P
|P
|d
|m
|m
|P
|P
|m
|m
|m
|m
|P
|P
|d
|m
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>0|12 b4</nowiki>
|m
|m
|d
|d
|m
|m
|d
|m
|m
|m
|m
Line 2,828: Line 2,875:
|m
|m
|-
|-
|Dorian
|Lydian♮11 b14
|LsLLLsLLsLLLs
|LLLsLLsLLsLLs
|<nowiki>7|5 #13</nowiki>
|<nowiki>12|0</nowiki>
|M
|M
|m
|M
|A
|P
|P
|M
|M
|P
|P
|M
|M
|m
|M
|P
|P
|P
|M
|M
|m
|-
|Hindu ♮6
|LLsLLsLLsLLsL
|<nowiki>8|4</nowiki>
|M
|M
|P
|P
|P
|P
|M
|M
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>2|10 b11</nowiki>
|m
|m
|P
|M
|m
|m
|P
|P
|d
|m
|m
|P
|P
|m
|m
|-
|Locrian ♮2 ♮5
|LsLLsLLsLLsLL
|<nowiki>4|8</nowiki>
|M
|m
|m
|d
|d
|m
|-
|Lydian b14
|LLLsLLsLLLsLs
|<nowiki>12|0 #11</nowiki>
|M
|M
|A
|P
|P
|M
|M
|P
|P
|M
|m
|M
|m
|A
|P
|m
|m
|P
|P
|M
|d
|m
|-
|-
|Mixolydian Dominant
|Locrian b8 b11
|LLsLLsLLLsLsL
|sLLsLLsLLsLLL
|<nowiki>10|2 b13</nowiki>
|<nowiki>0|12</nowiki>
|M
|m
|M
|m
|P
|P
|M
|m
|P
|M
|M
|P
|P
|d
|m
|m
|d
|m
|m
|d
|d
|m
|}
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
!4th
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|Persian ♮7
|LLsLLLsLsLLLs
|<nowiki>9|3 #7</nowiki>
|M
|M
|P
|P
|P
|M
|M
|P
|M
|m
|P
|P
|M
|-
|Phrygian ♮2 ♮6
|LsLLLsLsLLLsL
|<nowiki>5|7 #6</nowiki>
|M
|m
|P
|P
|M
|m
|P
|m
|m
|P
|P
|m
|-
|Phrygian
|sLLLsLsLLLsLL
|<nowiki>5|7 b2</nowiki>
|m
|m
|P
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|Major #4 b14
|LLLsLsLLLsLLs
|<nowiki>11|1 #4</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Hindu
|LLsLsLLLsLLsL
|<nowiki>8|4 b6</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|m
|P
|P
|m
|-
|Locrian ♮2
|LsLsLLLsLLsLL
|<nowiki>2|10 #2</nowiki>
|M
|m
|P
|d
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Locrian b4 b8 b11
|sLsLLLsLLsLLL
|<nowiki>0|12 b4</nowiki>
|m
|m
|d
|d
|m
|m
|d
|m
|m
|d
|d
|m
|-
|Dorian
|LsLLLsLLsLLLs
|<nowiki>7|5 #13</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|m
|P
|P
|M
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>2|10 b11</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|d
|d
|m
|-
|Lydian b14
|LLLsLLsLLLsLs
|<nowiki>12|0 #11</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|A
|P
|M
|-
|Mixolydian Dominant
|LLsLLsLLLsLsL
|<nowiki>10|2 b13</nowiki>
|M
|M
|P
|P
|M
|m
|P
|M
|M
|P
|P
|m
|-
|Minor b12
|LsLLsLLLsLsLL
|<nowiki>6|6 b12</nowiki>
|m
|m
|P
|P
|m
|m
|P
|m
|m
|P
|d
|m
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>2|10 b11</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|d
|d
|m
|}
{| class="wikitable"
!Mode
!Scale
![[Modal UDP Notation|UDP]]
! colspan="12" |Interval type
|-
!name
!pattern
!notation
!2nd
!3rd
!4th
!5th
!6th
!7th
!8th
!9th
!10th
!11th
!12th
!13th
|-
|Persian #4
|LLLsLsLLsLLLs
|<nowiki>9|3 #4</nowiki>
|M
|M
|A
|P
|M
|m
|P
|M
|m
|P
|P
|M
|-
|Hindu b9
|LLsLsLLsLLLsL
|<nowiki>8|4 b6 b9, 5|7 #3</nowiki>
|M
|M
|P
|P
|m
|m
|P
|m
|m
|P
|P
|m
|-
|Locrian ♮2
|LsLsLLsLLLsLL
|<nowiki>2|10 #2</nowiki>
|M
|m
|P
|d
|m
|m
|d
|m
|m
|P
|d
|m
|-
|Locrian bb7 b8
|sLsLLsLLLsLLL
|<nowiki>1|11 bb7</nowiki>
|m
|m
|P
|d
|m
|d
|d
|m
|m
|P
|d
|m
|-
|Harmonic Minor
|LsLLsLLLsLLLs
|<nowiki>6|6 #13</nowiki>
|M
|m
|P
|P
|m
|m
|P
|M
|m
|P
|P
|M
|-
|Locrian ♮12
|sLLsLLLsLLLsL
|<nowiki>2|10 #12</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|P
|M
|m
|-
|Major #11 b14
|LLsLLLsLLLsLs
|<nowiki>11|1 #11</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|M
|A
|P
|M
|-
|Dorian ♮10 b13
|LsLLLsLLLsLsL
|<nowiki>7|5 #10</nowiki>
|M
|m
|P
|P
|M
|m
|P
|M
|M
|P
|P
|m
|-
|Locrian ♮5 ♮9
|sLLLsLLLsLsLL
|<nowiki>3|9 #9</nowiki>
|m
|m
|P
|P
|m
|m
|P
|M
|m
|P
|d
|m
|-
|Lydian #8♮11 b14
|LLLsLLLsLsLLs
|<nowiki>12|0 #8</nowiki>
|M
|M
|A
|P
|M
|M
|P
|M
|M
|P
|P
|M
|-
|Ionian Dominant
|LLsLLLsLsLLsL
|<nowiki>11|1 b13, 8|4 #7</nowiki>
|M
|M
|P
|P
|M
|M
|P
|M
|M
|P
|P
|m
|-
|Locrian ♮2 ♮5 ♮6
|LsLLLsLsLLsLL
|<nowiki>4|8 #6</nowiki>
|M
|m
|P
|P
|M
|m
|P
|m
|m
|P
|d
|m
|m
|-
|-
|Minor b12
|Locrian ♮5 b8 b11
|LsLLsLLLsLsLL
|sLLLsLsLLsLLL
|<nowiki>6|6 b12</nowiki>
|<nowiki>0|12 #5</nowiki>
|m
|m
|m
|m
Line 2,901: Line 3,392:
|m
|m
|m
|m
|P
|m
|m
|P
|d
|d
|m
|-
|Locrian b11
|sLLsLLLsLsLLL
|<nowiki>2|10 b11</nowiki>
|m
|m
|P
|d
|m
|m
|P
|m
|m
|m
|m
Line 2,924: Line 3,399:
|m
|m
|}
|}
==Temperaments==
==Temperaments==
The '''Shōsūshī''' temperament spells its major hexad 24:30:36:45:54:64 or 84:108:126:162:189:224 <code>root-2(4g-3p)-(3g-2p)-(11g-8p)-2(3g-2p)-(1g)</code> (p = 18/5 or 7/2, g = 8/3) and its minor hexad 12:14:18:21:27:32 or 60:72:90:108:135:160 <code>root-(-5g-p)-(3g-2p)-(-2g)-2(3g-2p)-(1g)</code> (p = 18/5 or 7/2, g = 8/3).
The '''Shōsūshī''' temperament spells its major hexad 24:30:36:45:54:64 or 84:108:126:162:189:224 <code>root-2(4g-3p)-(3g-2p)-(11g-8p)-2(3g-2p)-(1g)</code> (p = 18/5 or 7/2, g = 8/3) and its minor hexad 12:14:18:21:27:32 or 60:72:90:108:135:160 <code>root-(-5g-p)-(3g-2p)-(-2g)-2(3g-2p)-(1g)</code> (p = 18/5 or 7/2, g = 8/3).