Gallery of 3-SN scales: Difference between revisions
→2.3.5; Starling, No-7 Ptolemismic, and Ragismic: added tables up to ragismic |
→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 | ||
|} | |} | ||