|
|
| (9 intermediate revisions by 6 users not shown) |
| Line 1: |
Line 1: |
| {{Infobox MOS | | {{Infobox MOS}} |
| | Periods = 1 | | {{MOS intro|Other Names=f-enharmonic}} |
| | nLargeSteps = 7
| | |
| | nSmallSteps = 12
| | Temperaments associated with this scale include [[flattone]], as the flattone enharmonic scale. |
| | Equalized = 8
| | |
| | Paucitonic = 3
| | == Scale properties == |
| | Pattern = LsLssLssLsLssLssLss
| | {{TAMNAMS use}} |
| }} | |
|
| |
|
| '''7L 12s''' is the MOS pattern of the [[flattone]] enharmonic or mega-chromatic scale. This MOS separates its large steps by intervals of 2s-2s-2s-1s-2s-2s-1s like the familiar [[12edo]] diatonic scale. The perfect fourth which generates it measures 8\19 (505.263 cents) to 3\7 (514.286 cents).
| | === Intervals === |
| | {{MOS intervals}} |
|
| |
|
| The flattone enharmonic scale with generator between 8\19 (505.263 cents) and 11\26 (507.692 cents) is [[Rothenberg propriety|proper]].
| | === Generator chain === |
| | {{MOS genchain}} |
|
| |
|
| == Modes == | | === Modes === |
| * 18|0 LsLssLssLsLssLssLss
| | {{MOS mode degrees}} |
| * 17|1 LsLssLssLssLsLssLss
| |
| * 16|2 LssLsLssLssLsLssLss
| |
| * 15|3 LssLsLssLssLssLsLss
| |
| * 14|4 LssLssLsLssLssLsLss
| |
| * 13|5 LssLssLsLssLssLssLs
| |
| * 12|6 LssLssLssLsLssLssLs
| |
| * 11|7 sLsLssLssLsLssLssLs
| |
| * 10|8 sLsLssLssLssLsLssLs
| |
| * 9|9 sLssLsLssLssLsLssLs
| |
| * 8|10 sLssLsLssLssLssLsLs
| |
| * 7|11 sLssLssLsLssLssLsLs
| |
| * 6|12 sLssLssLsLssLssLssL
| |
| * 5|13 sLssLssLssLsLssLssL
| |
| * 4|14 ssLsLssLssLsLssLssL
| |
| * 3|15 ssLsLssLssLssLsLssL
| |
| * 2|16 ssLssLsLssLssLsLssL
| |
| * 1|17 ssLssLsLssLssLssLsL
| |
| * 0|18 ssLssLssLsLssLssLsL
| |
|
| |
|
| == Scale tree == | | == Scale tree == |
| Generator ranges:
| | {{MOS tuning spectrum |
| * Chroma-positive generator: 505.2632 cents (8\19) to 514.2857 cents (3\7)
| | | 3/2 = [[Flattone]] |
| * Chroma-negative generator: 685.7143 cents (4\7) to 694.7368 cents (11\19)
| | | 13/8 = Golden flattone (506.9365{{c}}) |
| | | 5/2 = [[Flattertone]] |
| | | 13/5 = Unnamed golden tuning (508.6329{{c}}) |
| | | 6/1 = [[Deeptone]] |
| | }} |
|
| |
|
| {| class="wikitable center-all" | | {{todo|expand}} |
| ! colspan="6" | Generator
| |
| ! Cents
| |
| ! L
| |
| ! s
| |
| ! L/s
| |
| ! Comments
| |
| |-
| |
| | 8\19 || || || || || || 505.263 || 1 || 1 || 1.000 ||
| |
| |-
| |
| | || || || || || 43\102 || 505.882 || 6 || 5 || 1.200 ||
| |
| |-
| |
| | || || || || 35\83 || || 506.024 || 5 || 4 || 1.250 ||
| |
| |-
| |
| | || || || || || 62\147 || 506.122 || 9 || 7 || 1.286 ||
| |
| |-
| |
| | || || || 27\64 || || || 506.250 || 4 || 3 || 1.333 ||
| |
| |-
| |
| | || || || || || 73\173 || 506.358 || 11 || 8 || 1.375 ||
| |
| |-
| |
| | || || || || 46\109 || || 506.422 || 7 || 5 || 1.400 ||
| |
| |-
| |
| | || || || || || 65\154 || 506.494 || 10 || 7 || 1.428 ||
| |
| |-
| |
| | || || 19\45 || || || || 506.667 || 3 || 2 || 1.500 || [[Flattone]]
| |
| |-
| |
| | || || || || || 68\161 || 506.832 || 11 || 7 || 1.571 ||
| |
| |-
| |
| | || || || || 49\116 || || 506.897 || 8 || 5 || 1.600 ||
| |
| |-
| |
| | || || || || || 79\187 || 506.952 || 13 || 8 || 1.625 || Golden flattone (506.9365¢)
| |
| |-
| |
| | || || || 30\71 || || || 507.042 || 5 || 3 || 1.667 ||
| |
| |-
| |
| | || || || || || 71\168 || 507.143 || 12 || 7 || 1.714 ||
| |
| |-
| |
| | || || || || 41\97 || || 507.216 || 7 || 4 || 1.750 ||
| |
| |-
| |
| | || || || || || 52\123 || 507.317 || 9 || 5 || 1.800 ||
| |
| |-
| |
| | || 11\26 || || || || || 507.692 || 2 || 1 || 2.000 || Basic 7L 12s <br>(Generators smaller than this are proper)
| |
| |-
| |
| | || || || || || 47\111 || 508.108 || 9 || 4 || 2.250 ||
| |
| |-
| |
| | || || || || 36\85 || || 508.235 || 7 || 3 || 2.333 ||
| |
| |-
| |
| | || || || || || 61\144 || 508.333 || 12 || 5 || 2.400 ||
| |
| |-
| |
| | || || || 25\59 || || || 508.475 || 5 || 2 || 2.500 ||
| |
| |-
| |
| | || || || || || 64\151 || 508.609 || 13 || 5 || 2.600 || Unnamed golden tuning (508.6329¢)
| |
| |-
| |
| | || || || || 39\92 || || 508.696 || 8 || 3 || 2.667 ||
| |
| |-
| |
| | || || || || || 53\125 || 508.800 || 11 || 4 || 2.750 ||
| |
| |-
| |
| | || || 14\33 || || || || 509.091 || 3 || 1 || 3.000 ||
| |
| |-
| |
| | || || || || || 45\106 || 509.434 || 10 || 3 || 3.333 ||
| |
| |-
| |
| | || || || || 31\73 || || 509.589 || 7 || 2 || 3.500 ||
| |
| |-
| |
| | || || || || || 48\113 || 509.735 || 11 || 3 || 3.667 ||
| |
| |-
| |
| | || || || 17\40 || || || 510.000 || 4 || 1 || 4.000 ||
| |
| |-
| |
| | || || || || || 37\87 || 510.345 || 9 || 2 || 4.500 ||
| |
| |-
| |
| | || || || || 20\47 || || 510.638 || 5 || 1 || 5.000 ||
| |
| |-
| |
| | || || || || || 23\54 || 511.111 || 6 || 1 || 6.000 ||
| |
| |-
| |
| | 3\7 || || || || || || 514.286 || 1 || 0 || → inf ||
| |
| |}
| |
|
| |
|
| [[Category:19-tone scales]] | | [[Category:19-tone scales]] |
| [[Category:Mega chromatic scales]] | | [[Category:Mega chromatic scales]] |