Gallery of 3-SN scales: Difference between revisions

Lhearne (talk | contribs)
Lhearne (talk | contribs)
2.3.5; Marvel: Added to (2/1, 3/2, 5/4)[10] tables
Line 269: Line 269:
!Mode in JI
!Mode in JI
!Step pattern
!Step pattern
!Pentachordal
Decatonic
!Mode name
!Negri[10]
!UDP
![[Mode height]]
![[Mode height]]
|-
|-
Line 274: Line 279:
|16/15 256/225 6/5 32/25 512/375 3/2 8/5 128/75 2048/1125 2/1
|16/15 256/225 6/5 32/25 512/375 3/2 8/5 128/75 2048/1125 2/1
|mmsmmLmmmL
|mmsmmLmmmL
|sssssLsssL
|Dark minor
|LLsLLLLLLL
|<nowiki>2|7</nowiki>
| -.0564
| -.0564
|-
|-
Line 279: Line 288:
|16/15 9/8 6/5 32/25 45/32 3/2 8/5 128/75 15/8 2/1
|16/15 9/8 6/5 32/25 45/32 3/2 8/5 128/75 15/8 2/1
|msmmLmmmLm
|msmmLmmmLm
|ssssLsssLs
|Alternate minor
|LsLLLLLLLL
|<nowiki>1|8</nowiki>
| -.0411
| -.0411
|-
|-
Line 284: Line 297:
|135/128 9/8 6/5 675/512 45/32 3/2 8/5 225/128 15/8 2/1
|135/128 9/8 6/5 675/512 45/32 3/2 8/5 225/128 15/8 2/1
|smmLmmmLmm
|smmLmmmLmm
|sssLsssLss
|Bright minor
|sLLLLLLLLL
|<nowiki>0|9</nowiki>
| -.0258
| -.0258
|-
|-
Line 289: Line 306:
|16/15 256/225 4096/3375 4/3 64/45 1024/675 8/5 128/75 2048/1125 2/1
|16/15 256/225 4096/3375 4/3 64/45 1024/675 8/5 128/75 2048/1125 2/1
|mmmLmmsmmL
|mmmLmmsmmL
|sssLsssssL
|Standard minor
|LLLLLLsLLL
|<nowiki>6|3</nowiki>
| -.0230
| -.0230
|-
|-
Line 294: Line 315:
|16/15 256/225 5/4 4/3 64/45 3/2 8/5 128/75 15/8 2/1
|16/15 256/225 5/4 4/3 64/45 3/2 8/5 128/75 15/8 2/1
|mmLmmsmmLm
|mmLmmsmmLm
|ssLsssssLs
|Dark major
|LLLLLsLLLL
|<nowiki>5|4</nowiki>
| -.0077
| -.0077
|-
|-
Line 299: Line 324:
|16/15 75/64 5/4 4/3 45/32 3/2 8/5 225/128 15/8 2/1
|16/15 75/64 5/4 4/3 45/32 3/2 8/5 225/128 15/8 2/1
|mLmmsmmLmm
|mLmmsmmLmm
|sLsssssLss
|Alternate major
|LLLLsLLLLL
|<nowiki>4|5</nowiki>
|.0077
|.0077
|-
|-
Line 304: Line 333:
|1125/1024 75/64 5/4 675/512 45/32 3/2 3375/2048 225/128 15/8 2/1
|1125/1024 75/64 5/4 675/512 45/32 3/2 3375/2048 225/128 15/8 2/1
|LmmsmmLmmm
|LmmsmmLmmm
|LsssssLsss
|Bright major
|LLLsLLLLLL
|<nowiki>3|6</nowiki>
|.0239
|.0239
|-
|-
Line 309: Line 342:
|16/15 256/225 5/4 4/3 64/45 1024/675 5/3 16/9 256/135 2/1
|16/15 256/225 5/4 4/3 64/45 1024/675 5/3 16/9 256/135 2/1
|mmLmmmLmms
|mmLmmmLmms
|ssLsssLsss
|Standard major
|LLLLLLLLLs
|<nowiki>9|0</nowiki>
|.0258
|.0258
|-
|-
Line 314: Line 351:
|16/15 75/64 5/4 4/3 64/45 25/16 5/3 16/9 15/8 2/1
|16/15 75/64 5/4 4/3 64/45 25/16 5/3 16/9 15/8 2/1
|mLmmmLmmsm
|mLmmmLmmsm
|sLsssLssss
|Dark Augmented
|LLLLLLLLsL
|<nowiki>8|1</nowiki>
|.0411
|.0411
|-
|-
Line 319: Line 360:
|1125/1024 75/64 5/4 4/3 375/256 25/16 5/3 225/128 15/8 2/1
|1125/1024 75/64 5/4 4/3 375/256 25/16 5/3 225/128 15/8 2/1
|LmmmLmmsmm
|LmmmLmmsmm
|LsssLsssss
|Bright Augmented
|LLLLLLLsLL
|<nowiki>7|2</nowiki>
|.0564
|.0564
|}
|}
Line 372: Line 417:
!Mode as simplest JI pre-image
!Mode as simplest JI pre-image
!Step pattern
!Step pattern
!Pentachordal
Decatonic
!Mode name
!Negri[10]
!UDP
![[Mode height]]
![[Mode height]]
|-
|-
Line 377: Line 427:
|~ 16/15 8/7 6/5 9/7 48/35 3/2 8/5 12/7 64/35 2/1
|~ 16/15 8/7 6/5 9/7 48/35 3/2 8/5 12/7 64/35 2/1
|mmsmmLmmmL
|mmsmmLmmmL
|sssssLsssL
|Dark minor
|LLsLLLLLLL
|<nowiki>2|7</nowiki>
| -.0475
| -.0475
|-
|-
Line 382: Line 436:
|~ 16/15 9/8 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1
|~ 16/15 9/8 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1
|msmmLmmmLm
|msmmLmmmLm
|ssssLsssLs
|Alternate minor
|LsLLLLLLLL
|<nowiki>1|8</nowiki>
| -.0400
| -.0400
|-
|-
Line 387: Line 445:
|~ 21/20 9/8 6/5 21/16 7/5 3/2 8/5 7/4 15/8 2/1
|~ 21/20 9/8 6/5 21/16 7/5 3/2 8/5 7/4 15/8 2/1
|smmLmmmLmm
|smmLmmmLmm
|sssLsssLss
|Bright minor
|sLLLLLLLLL
|<nowiki>0|9</nowiki>
| -.0325
| -.0325
|-
|-
Line 392: Line 454:
|~ 16/15 8/7 60/49 4/3 10/7 32/21 8/5 12/7 64/35 2/1
|~ 16/15 8/7 60/49 4/3 10/7 32/21 8/5 12/7 64/35 2/1
|mmmLmmsmmL
|mmmLmmsmmL
|sssLsssssL
|Standard minor
|LLLLLLsLLL
|<nowiki>6|3</nowiki>
| -.0112
| -.0112
|-
|-
Line 397: Line 463:
|~ 16/15 8/7 5/4 4/3 10/7 3/2 8/5 12/7 15/8 2/1
|~ 16/15 8/7 5/4 4/3 10/7 3/2 8/5 12/7 15/8 2/1
|mmLmmsmmLm
|mmLmmsmmLm
|ssLsssssLs
|Dark major
|LLLLLsLLLL
|<nowiki>5|4</nowiki>
| -.0037
| -.0037
|-
|-
Line 402: Line 472:
|~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
|~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
|mLmmsmmLmm
|mLmmsmmLmm
|sLsssssLss
|Alternate major
|LLLLsLLLLL
|<nowiki>4|5</nowiki>
|.0037
|.0037
|-
|-
Line 407: Line 481:
|~ 35/32 7/6 5/4 21/16 7/5 3/2 49/30 7/4 15/8 2/1
|~ 35/32 7/6 5/4 21/16 7/5 3/2 49/30 7/4 15/8 2/1
|LmmsmmLmmm
|LmmsmmLmmm
|LsssssLsss
|Bright major
|LLLsLLLLLL
|<nowiki>3|6</nowiki>
|.0112
|.0112
|-
|-
Line 412: Line 490:
|~ 16/15 8/7 5/4 4/3 10/7 32/16 5/3 16/9 40/21 2/1
|~ 16/15 8/7 5/4 4/3 10/7 32/16 5/3 16/9 40/21 2/1
|mmLmmmLmms
|mmLmmmLmms
|ssLsssLsss
|Standard major
|LLLLLLLLLs
|<nowiki>9|0</nowiki>
|.0325
|.0325
|-
|-
Line 417: Line 499:
|~ 16/15 7/6 5/4 4/3 10/7 14/9 5/3 16/9 15/8 2/1
|~ 16/15 7/6 5/4 4/3 10/7 14/9 5/3 16/9 15/8 2/1
|mLmmmLmmsm
|mLmmmLmmsm
|sLsssLssss
|Dark Augmented
|LLLLLLLLsL
|<nowiki>8|1</nowiki>
|.0400
|.0400
|-
|-
Line 422: Line 508:
|~ 35/32 7/6 5/4 4/3 35/24 14/9 5/3 7/4 15/8 2/1
|~ 35/32 7/6 5/4 4/3 35/24 14/9 5/3 7/4 15/8 2/1
|LmmmLmmsmm
|LmmmLmmsmm
|LsssLsssss
|Bright Augmented
|LLLLLLLsLL
|<nowiki>7|2</nowiki>
|.0475
|.0475
|}
|}
Line 489: Line 579:
!Mode as simplest JI pre-image
!Mode as simplest JI pre-image
!Step pattern
!Step pattern
!Pentachordal
Decatonic
!Mode name
!Negri[10]
!UDP
![[Mode height]]
![[Mode height]]
|-
|-
Line 494: Line 589:
|~ 16/15 8/7 6/5 9/7 11/8 3/2 8/5 12/7 11/6 2/1
|~ 16/15 8/7 6/5 9/7 11/8 3/2 8/5 12/7 11/6 2/1
|mmsmmLmmmL
|mmsmmLmmmL
|sssssLsssL
|Dark minor
|LLsLLLLLLL
|<nowiki>2|7</nowiki>
| -.0472
| -.0472
|-
|-
Line 499: Line 598:
|~ 16/15 9/8 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1
|~ 16/15 9/8 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1
|msmmLmmmLm
|msmmLmmmLm
|ssssLsssLs
|Alternate minor
|LsLLLLLLLL
|<nowiki>1|8</nowiki>
| -.0400
| -.0400
|-
|-
Line 504: Line 607:
|~ 21/20 9/8 6/5 21/16 7/5 3/2 8/5 7/4 15/8 2/1
|~ 21/20 9/8 6/5 21/16 7/5 3/2 8/5 7/4 15/8 2/1
|smmLmmmLmm
|smmLmmmLmm
|sssLsssLss
|Bright minor
|sLLLLLLLLL
|<nowiki>0|9</nowiki>
| -.0327
| -.0327
|-
|-
Line 509: Line 616:
|~ 16/15 8/7 11/9 4/3 10/7 32/21 8/5 12/7 11/6 2/1
|~ 16/15 8/7 11/9 4/3 10/7 32/21 8/5 12/7 11/6 2/1
|mmmLmmsmmL
|mmmLmmsmmL
|sssLsssssL
|Standard minor
|LLLLLLsLLL
|<nowiki>6|3</nowiki>
| -.0109
| -.0109
|-
|-
Line 514: Line 625:
|~ 16/15 8/7 5/4 4/3 10/7 3/2 8/5 12/7 15/8 2/1
|~ 16/15 8/7 5/4 4/3 10/7 3/2 8/5 12/7 15/8 2/1
|mmLmmsmmLm
|mmLmmsmmLm
|ssLsssssLs
|Dark major
|LLLLLsLLLL
|<nowiki>5|4</nowiki>
| -.0036
| -.0036
|-
|-
Line 519: Line 634:
|~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
|~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
|mLmmsmmLmm
|mLmmsmmLmm
|sLsssssLss
|Alternate major
|LLLLsLLLLL
|<nowiki>4|5</nowiki>
|.0036
|.0036
|-
|-
Line 524: Line 643:
|~ 12/11 7/6 5/4 21/16 7/5 3/2 18/11 7/4 15/8 2/1
|~ 12/11 7/6 5/4 21/16 7/5 3/2 18/11 7/4 15/8 2/1
|LmmsmmLmmm
|LmmsmmLmmm
|LsssssLsss
|Bright major
|LLLsLLLLLL
|<nowiki>3|6</nowiki>
|.0109
|.0109
|-
|-
Line 529: Line 652:
|~ 16/15 8/7 5/4 4/3 10/7 32/16 5/3 16/9 40/21 2/1
|~ 16/15 8/7 5/4 4/3 10/7 32/16 5/3 16/9 40/21 2/1
|mmLmmmLmms
|mmLmmmLmms
|ssLsssLsss
|Standard major
|LLLLLLLLLs
|<nowiki>9|0</nowiki>
|.0327
|.0327
|-
|-
Line 534: Line 661:
|~ 16/15 7/6 5/4 4/3 10/7 14/9 5/3 16/9 15/8 2/1
|~ 16/15 7/6 5/4 4/3 10/7 14/9 5/3 16/9 15/8 2/1
|mLmmmLmmsm
|mLmmmLmmsm
|sLsssLssss
|Dark Augmented
|LLLLLLLLsL
|<nowiki>8|1</nowiki>
|.0400
|.0400
|-
|-
Line 539: Line 670:
|~ 12/11 7/6 5/4 4/3 16/11 14/9 5/3 7/4 15/8 2/1
|~ 12/11 7/6 5/4 4/3 16/11 14/9 5/3 7/4 15/8 2/1
|LmmmLmmsmm
|LmmmLmmsmm
|LsssLsssss
|Bright Augmented
|LLLLLLLsLL
|<nowiki>7|2</nowiki>
|.0472
|.0472
|}
|}
Line 594: Line 729:
!Mode as simplest JI pre-image
!Mode as simplest JI pre-image
!Step pattern
!Step pattern
!Pentachordal
Decatonic
!Mode name
!Negroni[10]
!UDP
![[Mode height]]
![[Mode height]]
|-
|-
Line 599: Line 739:
|~ 16/15 8/7 6/5 9/7 48/35 3/2 8/5 12/7 64/35 2/1
|~ 16/15 8/7 6/5 9/7 48/35 3/2 8/5 12/7 64/35 2/1
|mmsmmLmmmL
|mmsmmLmmmL
|sssssLsssL
|Dark minor
|LLsLLLLLLL
|<nowiki>2|7</nowiki>
| -.0466
| -.0466
|-
|-
Line 604: Line 748:
|~ 16/15 9/8 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1
|~ 16/15 9/8 6/5 9/7 7/5 3/2 8/5 12/7 15/8 2/1
|msmmLmmmLm
|msmmLmmmLm
|ssssLsssLs
|Alternate minor
|LsLLLLLLLL
|<nowiki>1|8</nowiki>
| -.0404
| -.0404
|-
|-
Line 609: Line 757:
|~ 21/20 9/8 6/5 21/16 7/5 3/2 8/5 7/4 15/8 2/1
|~ 21/20 9/8 6/5 21/16 7/5 3/2 8/5 7/4 15/8 2/1
|smmLmmmLmm
|smmLmmmLmm
|sssLsssLss
|Bright minor
|sLLLLLLLLL
|<nowiki>0|9</nowiki>
| -.0343
| -.0343
|-
|-
Line 614: Line 766:
|~ 16/15 8/7 27/22 4/3 10/7 32/21 8/5 12/7 64/35 2/1
|~ 16/15 8/7 27/22 4/3 10/7 32/21 8/5 12/7 64/35 2/1
|mmmLmmsmmL
|mmmLmmsmmL
|sssLsssssL
|Standard minor
|LLLLLLsLLL
|<nowiki>6|3</nowiki>
| -.0092
| -.0092
|-
|-
Line 619: Line 775:
|~ 16/15 8/7 5/4 4/3 10/7 3/2 8/5 12/7 15/8 2/1
|~ 16/15 8/7 5/4 4/3 10/7 3/2 8/5 12/7 15/8 2/1
|mmLmmsmmLm
|mmLmmsmmLm
|ssLsssssLs
|Dark major
|LLLLLsLLLL
|<nowiki>5|4</nowiki>
| -.0031
| -.0031
|-
|-
Line 624: Line 784:
|~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
|~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 2/1
|mLmmsmmLmm
|mLmmsmmLmm
|sLsssssLss
|Alternate major
|LLLLsLLLLL
|<nowiki>4|5</nowiki>
|.0031
|.0031
|-
|-
Line 629: Line 793:
|~ 35/32 7/6 5/4 21/16 7/5 3/2 44/27 7/4 15/8 2/1
|~ 35/32 7/6 5/4 21/16 7/5 3/2 44/27 7/4 15/8 2/1
|LmmsmmLmmm
|LmmsmmLmmm
|LsssssLsss
|Bright major
|LLLsLLLLLL
|<nowiki>3|6</nowiki>
|.0092
|.0092
|-
|-
Line 634: Line 802:
|~ 16/15 8/7 5/4 4/3 10/7 32/16 5/3 16/9 40/21 2/1
|~ 16/15 8/7 5/4 4/3 10/7 32/16 5/3 16/9 40/21 2/1
|mmLmmmLmms
|mmLmmmLmms
|ssLsssLsss
|Standard major
|LLLLLLLLLs
|<nowiki>9|0</nowiki>
|.0343
|.0343
|-
|-
Line 639: Line 811:
|~ 16/15 7/6 5/4 4/3 10/7 14/9 5/3 16/9 15/8 2/1
|~ 16/15 7/6 5/4 4/3 10/7 14/9 5/3 16/9 15/8 2/1
|mLmmmLmmsm
|mLmmmLmmsm
|sLsssLssss
|Dark Augmented
|LLLLLLLLsL
|<nowiki>8|1</nowiki>
|.0404
|.0404
|-
|-
Line 644: Line 820:
|~ 35/32 7/6 5/4 4/3 35/24 14/9 5/3 7/4 15/8 2/1
|~ 35/32 7/6 5/4 4/3 35/24 14/9 5/3 7/4 15/8 2/1
|LmmmLmmsmm
|LmmmLmmsmm
|LsssLsssss
|Bright Augmented
|LLLLLLLsLL
|<nowiki>7|2</nowiki>
|.0466
|.0466
|}
|}