User:Ganaram inukshuk/Tables: Difference between revisions
m →Temperament-Agnostic and Temperament Information: Had to remove a few scale codes because I only wanted them to be for steps whose size is a single-digit number. |
→Temperament-Agnostic and Temperament Information: Merged all the individual tables into one giant table for combined temperament-agnostic and temperament-based information. (Now I wish this was its own template...) |
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=== Temperament-Agnostic and Temperament Information === | === General (Temperament-Agnostic) Information and Temperament Information === | ||
Notes: | Notes: | ||
* The generator pairs are ordered starting from ceil(n/2)\n and floor(n/2)\n and ending at (n-2)\n and 2\n. Including every possible pair from 1\n to (n-1)\n to (n-1)\n to 1\n would be redundant since the pair k\n and (n-k)\n would produce a table that's identical to (n-k)\n and k\n but reversed. | * The generator pairs are ordered starting from ceil(n/2)\n and floor(n/2)\n and ending at (n-2)\n and 2\n. Including every possible pair from 1\n to (n-1)\n to (n-1)\n to 1\n would be redundant since the pair k\n and (n-k)\n would produce a table that's identical to (n-k)\n and k\n but reversed. | ||
* (n-1)\n and 1\n is not included since it produces a sequence of "monolarge" scales where every scale in the table has the same size of small step. | * <s>(n-1)\n and 1\n is not included since it produces a sequence of "monolarge" scales where every scale in the table has the same size of small step.</s> | ||
* Information from the page for [[19edo]] and its subpages (as of time of writing) is used as sample data. | * Information from the page for [[19edo]] and its subpages (as of time of writing) is used as sample data. | ||
* A few unnamed mosses are given tentative names based on names from their respective pages (EG, klesitonic) or based on existing names (EG, tetric). | * A few unnamed mosses are given tentative names based on names from their respective pages (EG, klesitonic) or based on existing names (EG, tetric). | ||
* Scale codes are given for scales whose step sizes are single-digit numbers. | * Scale codes are given for scales whose step sizes are single-digit numbers. | ||
{| class="wikitable" | {| class="wikitable" | ||
! colspan="19 | ! colspan="19" |Step Pattern | ||
! colspan="4" | | ! colspan="4" |General Information | ||
! | !Temperament Information | ||
|- | |- | ||
! colspan="19" |Generator pair of 10\19 and 9\19 | |||
!Scale Code | !Scale Code | ||
!Mos | !Mos | ||
!Step Ratio | ![[TAMNAMS#Step%20ratio%20spectrum|Step Ratio]] | ||
!TAMNAMS Name | ![[TAMNAMS#Mos%20pattern%20names|TAMNAMS Name]] | ||
!Scales | |||
|- | |- | ||
| colspan="10" |10 | | colspan="10" |10 | ||
| Line 851: | Line 853: | ||
| colspan="8" |8 | | colspan="8" |8 | ||
|11818 | |11818 | ||
|2L 3s | |[[2L 3s]] | ||
|8:1 | |8:1 | ||
|pentic | |pentic | ||
|liese[5] | |[[liese]][5] | ||
|- | |- | ||
|1 | |1 | ||
| Line 864: | Line 866: | ||
| colspan="7" |7 | | colspan="7" |7 | ||
|1117117 | |1117117 | ||
|2L 5s | |[[2L 5s]] | ||
|7:1 | |7:1 | ||
|antidiatonic | |antidiatonic | ||
| Line 879: | Line 881: | ||
| colspan="6" |6 | | colspan="6" |6 | ||
|111161116 | |111161116 | ||
|2L 7s | |[[2L 7s]] | ||
|6:1 | |6:1 | ||
|joanatonic | |joanatonic | ||
| Line 896: | Line 898: | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|11111511115 | |11111511115 | ||
|2L 9s | |[[2L 9s]] | ||
|5:1 | |5:1 | ||
| | | | ||
| Line 915: | Line 917: | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1111114111114 | |1111114111114 | ||
|2L 11s | |[[2L 11s]] | ||
|4:1 | |4:1 | ||
| | | | ||
| Line 936: | Line 938: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|111111131111113 | |111111131111113 | ||
|2L 13s | |[[2L 13s]] | ||
|3:1 | |3:1 | ||
| | | | ||
| Line 983: | Line 985: | ||
|1 | |1 | ||
|1 | |1 | ||
| | | colspan="5" | | ||
|- | |- | ||
! colspan="19" |Generator pair of 11\19 and 8\19 | |||
!Scale Code | !Scale Code | ||
!Mos | !Mos | ||
!Step Ratio | !Step Ratio | ||
!TAMNAMS Name | !TAMNAMS Name | ||
!Scales | |||
|- | |- | ||
| colspan="11" |11 | | colspan="11" |11 | ||
| Line 1,022: | Line 1,017: | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|33535 | |33535 | ||
|2L 3s | |[[2L 3s]] | ||
|5:3 | |5:3 | ||
|pentic | |pentic | ||
|meantone[5] | |[[meantone]][5] | ||
|- | |- | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| Line 1,035: | Line 1,030: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|3332332 | |3332332 | ||
|5L 2s | |[[5L 2s]] | ||
|3:2 | |3:2 | ||
|diatonic | |diatonic | ||
| Line 1,053: | Line 1,048: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|121212212122 | |121212212122 | ||
|7L 5s | |[[7L 5s]] | ||
|2:1 | |2:1 | ||
|m-chromatic | |m-chromatic | ||
| Line 1,077: | Line 1,072: | ||
|1 | |1 | ||
|1 | |1 | ||
| | | colspan="5" | | ||
|- | |- | ||
! colspan="19" |Generator pair of 12\19 and 7\19 | |||
!Scale Code | !Scale Code | ||
!Mos | !Mos | ||
!Step Ratio | !Step Ratio | ||
!TAMNAMS Name | !TAMNAMS Name | ||
!Scales | |||
|- | |- | ||
| colspan="12" |12 | | colspan="12" |12 | ||
| Line 1,116: | Line 1,104: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|55252 | |55252 | ||
|3L 2s | |[[3L 2s]] | ||
|5:2 | |5:2 | ||
|antipentic | |antipentic | ||
|sensi[5] | |[[sensi]][5] | ||
|- | |- | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| Line 1,130: | Line 1,118: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|32322322 | |32322322 | ||
|3L 5s | |[[3L 5s]] | ||
|3:2 | |3:2 | ||
|sensoid | |sensoid | ||
| Line 1,147: | Line 1,135: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|12212221222 | |12212221222 | ||
|8L 3s | |[[8L 3s]] | ||
|2:1 | |2:1 | ||
| | | | ||
| Line 1,171: | Line 1,159: | ||
|1 | |1 | ||
|1 | |1 | ||
| | | colspan="5" | | ||
|- | |- | ||
! colspan="19" |Generator pair of 13\19 and 6\19 | |||
!Scale Code | !Scale Code | ||
!Mos | !Mos | ||
!Step Ratio | !Step Ratio | ||
!TAMNAMS Name | !TAMNAMS Name | ||
!Scales | |||
|- | |- | ||
| colspan="13" |13 | | colspan="13" |13 | ||
| Line 1,209: | Line 1,190: | ||
| colspan="6" |6 | | colspan="6" |6 | ||
|1666 | |1666 | ||
|3L 1s | |[[3L 1s]] | ||
|6:1 | |6:1 | ||
|tetric | |tetric | ||
| Line 1,222: | Line 1,203: | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|1151515 | |1151515 | ||
|3L 4s | |[[3L 4s]] | ||
|5:1 | |5:1 | ||
|mosh | |mosh | ||
|magic[7] | |[[magic]][7] | ||
|- | |- | ||
|1 | |1 | ||
| Line 1,238: | Line 1,219: | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1114114114 | |1114114114 | ||
|3L 7s | |[[3L 7s]] | ||
|4:1 | |4:1 | ||
|sephiroid | |sephiroid | ||
| Line 1,257: | Line 1,238: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1111311131113 | |1111311131113 | ||
|3L 10s | |[[3L 10s]] | ||
|3:1 | |3:1 | ||
| | | | ||
| Line 1,279: | Line 1,260: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1111121111211112 | |1111121111211112 | ||
|3L 13s | |[[3L 13s]] | ||
|2:1 | |2:1 | ||
| | | | ||
| Line 1,303: | Line 1,284: | ||
|1 | |1 | ||
|1 | |1 | ||
| | | colspan="5" | | ||
|- | |- | ||
! colspan="19" |Generator pair of 14\19 and 5\19 | |||
!Scale Code | !Scale Code | ||
!Mos | !Mos | ||
!Step Ratio | !Step Ratio | ||
!TAMNAMS Name | !TAMNAMS Name | ||
!Scales | |||
|- | |- | ||
| colspan="14" |14 | | colspan="14" |14 | ||
| Line 1,341: | Line 1,315: | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|4555 | |4555 | ||
|3L 1s | |[[3L 1s]] | ||
|5:4 | |5:4 | ||
|tetric | |tetric | ||
| Line 1,354: | Line 1,328: | ||
|1 | |1 | ||
|4414141 | |4414141 | ||
|4L 3s | |[[4L 3s]] | ||
|4:1 | |4:1 | ||
|smitonic | |smitonic | ||
|kleismic[7] | |[[kleismic]][7] | ||
|- | |- | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| Line 1,371: | Line 1,345: | ||
|1 | |1 | ||
|31311311311 | |31311311311 | ||
|4L 7s | |[[4L 7s]] | ||
|3:1 | |3:1 | ||
|kleistonic | |kleistonic | ||
| Line 1,392: | Line 1,366: | ||
|1 | |1 | ||
|211211121112111 | |211211121112111 | ||
|4L 11s | |[[4L 11s]] | ||
|2:1 | |2:1 | ||
| | | | ||
| Line 1,416: | Line 1,390: | ||
|1 | |1 | ||
|1 | |1 | ||
| | | colspan="5" | | ||
|- | |- | ||
! colspan="19" |Generator pair of 15\19 and 4\19 | |||
!Scale Code | !Scale Code | ||
!Mos | !Mos | ||
!Step Ratio | !Step Ratio | ||
!TAMNAMS Name | !TAMNAMS Name | ||
!Scales | |||
|- | |- | ||
| colspan="15" |15 | | colspan="15" |15 | ||
| Line 1,454: | Line 1,421: | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|7444 | |7444 | ||
|1L 3s | |[[1L 3s]] | ||
|7:4 | |7:4 | ||
| | | | ||
| Line 1,465: | Line 1,432: | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|34444 | |34444 | ||
|4L 1s | |[[4L 1s]] | ||
|4:3 | |4:3 | ||
|manic | |manic | ||
|godzilla[5] | |[[Semaphore and Godzilla|godzilla]][5] | ||
|- | |- | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| Line 1,480: | Line 1,447: | ||
|1 | |1 | ||
|331313131 | |331313131 | ||
|5L 4s | |[[5L 4s]] | ||
|3:1 | |3:1 | ||
|semiquartal | |semiquartal | ||
| Line 1,500: | Line 1,467: | ||
|1 | |1 | ||
|21211211211211 | |21211211211211 | ||
|5L 9s | |[[5L 9s]] | ||
|2:1 | |2:1 | ||
| | | | ||
| Line 1,524: | Line 1,491: | ||
|1 | |1 | ||
|1 | |1 | ||
| | | colspan="5" | | ||
|- | |- | ||
! colspan="19" |Generator pair of 16\19 and 3\19 | |||
!Scale Code | !Scale Code | ||
!Mos | !Mos | ||
!Step Ratio | !Step Ratio | ||
!TAMNAMS Name | !TAMNAMS Name | ||
!Scales | |||
|- | |- | ||
| colspan="16" |16 | | colspan="16" |16 | ||
| Line 1,562: | Line 1,522: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| | | | ||
|1L 3s | |[[1L 3s]] | ||
|10:3 | |10:3 | ||
| | | | ||
| Line 1,573: | Line 1,533: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|73333 | |73333 | ||
|1L 4s | |[[1L 4s]] | ||
|7:3 | |7:3 | ||
| | | | ||
| Line 1,585: | Line 1,545: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|433333 | |433333 | ||
|1L 5s | |[[1L 5s]] | ||
|4:3 | |4:3 | ||
| | | | ||
|deutone[6] | |[[deutone]][6] | ||
|- | |- | ||
|1 | |1 | ||
| Line 1,598: | Line 1,558: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1333333 | |1333333 | ||
|6L 1s | |[[6L 1s]] | ||
|3:1 | |3:1 | ||
|archeotonic | |archeotonic | ||
| Line 1,617: | Line 1,577: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1121212121212 | |1121212121212 | ||
|6L 7s | |[[6L 7s]] | ||
|2:1 | |2:1 | ||
| | | | ||
| Line 1,641: | Line 1,601: | ||
|1 | |1 | ||
|1 | |1 | ||
| | | colspan="5" | | ||
|- | |- | ||
! colspan="19" |Generator pair of 17\19 and 2\19 | |||
!Scale Code | !Scale Code | ||
!Mos | !Mos | ||
!Step Ratio | !Step Ratio | ||
!TAMNAMS Name | !TAMNAMS Name | ||
!Scales | |||
|- | |- | ||
| colspan="17" |17 | | colspan="17" |17 | ||
| Line 1,747: | Line 1,700: | ||
|3:2 | |3:2 | ||
| | | | ||
|negri[9] | |[[negri]][9] | ||
|- | |- | ||
|1 | |1 | ||
| Line 1,784: | Line 1,737: | ||
|1 | |1 | ||
|1 | |1 | ||
| colspan="5" | | |||
|- | |||
! colspan="19" |Generator pair of 18\19 and 1\19 | |||
!Scale Code | |||
!Mos | |||
!Step Ratio | |||
!TAMNAMS Name | |||
!Scales | |||
|- | |||
| colspan="18" |18 | |||
|1 | |||
| | |||
|1L 1s | |||
|18:1 | |||
| | |||
| | |||
|- | |||
| colspan="17" |17 | |||
|1 | |||
|1 | |||
| | |||
|1L 2s | |||
|17:1 | |||
| | |||
| | |||
|- | |||
| colspan="16" |16 | |||
|1 | |||
|1 | |||
|1 | |||
| | |||
|[[1L 3s]] | |||
|16:1 | |||
| | |||
| | |||
|- | |||
| colspan="15" |15 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
| | |||
|[[1L 4s]] | |||
|15:1 | |||
| | |||
| | |||
|- | |||
| colspan="14" |14 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
| | |||
|[[1L 5s]] | |||
|14:1 | |||
| | |||
| | |||
|- | |||
| colspan="13" |13 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
| | |||
|[[1L 6s]] | |||
|13:1 | |||
| | |||
| | |||
|- | |||
| colspan="12" |12 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
| | |||
|[[1L 7s]] | |||
|12:1 | |||
| | |||
| | |||
|- | |||
| colspan="11" |11 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
| | |||
|[[1L 8s]] | |||
|11:1 | |||
| | |||
| | |||
|- | |||
| colspan="10" |10 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
| | |||
|[[1L 9s]] | |||
|10:1 | |||
| | |||
| | |||
|- | |||
| colspan="9" |9 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|91111111111 | |||
|[[1L 10s]] | |||
|9:1 | |||
| | | | ||
| | |||
|- | |||
| colspan="8" |8 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|811111111111 | |||
|[[1L 11s]] | |||
|8:1 | |||
| | | | ||
| | | | ||
|- | |||
| colspan="7" |7 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|7111111111111 | |||
|[[1L 12s]] | |||
|7:1 | |||
| | | | ||
| | | | ||
|- | |||
| colspan="6" |6 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|61111111111111 | |||
|[[1L 13s]] | |||
|6:1 | |||
| | |||
| | |||
|- | |||
| colspan="5" |5 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|511111111111111 | |||
|[[1L 14s]] | |||
|5:1 | |||
| | |||
| | |||
|- | |||
| colspan="4" |4 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|4111111111111111 | |||
|[[1L 15s]] | |||
|4:1 | |||
| | |||
| | |||
|- | |||
| colspan="3" |3 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|31111111111111111 | |||
|[[1L 16s]] | |||
|3:1 | |||
| | |||
| | |||
|- | |||
| colspan="2" |2 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|211111111111111111 | |||
|[[1L 17s]] | |||
|2:1 | |||
| | |||
| | |||
|- | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
|1 | |||
| colspan="5" | | |||
|} | |} | ||
== Mode and Interval Table == | == Mode and Interval Table == | ||