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7L 5s: Difference between revisions

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{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro|Other Names=m-chromatic}}
{{MOS intro|Other Names=m-chromatic}}
7L 5s represents the chromatic scale of [[meantone]], or meantone chromatic scale. Such scales are characterized by having a small step ([[diatonic semitone]]) that is larger than the [[chroma]] ([[chromatic semitone]]), the reverse of [[5L 7s]].
 
7L 5s represents the chromatic scale of [[meantone]], or meantone chromatic scale. Such scales are characterized by having a small step ([[diatonic semitone]]) that is larger than the [[chroma]] ([[chromatic semitone]]), the reverse of [[5L 7s]].


Meantone is the only notable harmonic entropy minimum.
Meantone is the only notable harmonic entropy minimum.
== Modes ==
 
Both [[User:Eliora|Eliora]] and [[User:Ganaram inukshuk|Ganaram]] have independently proposed mode names based on names of the months. The latter scheme uses mode names from the Gregorian calendar, starting with January assigned to the step pattern LsLsLsLLsLsL, with successive rotations assigned to successive months. The latter scheme is based on month names from the Roman calendar, starting with Mensis Martius as the brightest mode, with successive month names for each mode by descending brightness.
== Scale properties ==
{{MOS modes|Mode Names=July; December; May; October; March; August; January; June; November; April; September; February}}{{MOS modes|Mode Names=Martian; Aprilian; Maian; Junian; Quintillian or Julian; Sextilian or Augustan; Septembian; Octobian; Novembian; Decembian; Janian; Februan}}
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
=== Proposed names ===
Both [[User:Eliora|Eliora]] and [[User:Ganaram inukshuk|Ganaram]] have independently proposed mode names based on names of the months. The former scheme uses mode names from the Gregorian calendar using cyclic order, starting with January assigned to the step pattern LsLsLsLLsLsL due to positioning of 31-day and 30-day months, with successive rotations assigned to successive months. The latter scheme is based on month names from the Roman calendar, starting with Mensis Martius as the brightest mode, with successive month names for each mode by descending brightness.
 
{{MOS modes
| Table Headers=
Mode names<br>(by [[User:Eliora|Eliora]]) $
Mode names<br>(by [[User:Ganaram inukshuk|Ganaram]])
| Table Entries=
July $
Martian $
December $
Aprilian $
May $
Maian $
October $
Junian $
March $
Quintillian <br>Julian $
August $
Sextilian <br>Augustan $
January $
Septembian $
June $
Octobian $
November $
Novembian $
April $
Decembian $
September $
Janian $
February $
Februan $
}}


== Scales ==
== Scales ==
Line 16: Line 60:


== Scale tree ==
== Scale tree ==
Generator ranges:
{{MOS tuning spectrum
* Chroma-positive generator: 500 cents (5\12) to 514.2857 cents (3\7)
| 4/3 = Meantone / [[meridetone]]
* Chroma-negative generator: 685.7143 cents (4\7) to 700 cents (7\12)
| 7/5 = Meantone / [[huygens]] / [[grosstone]]
 
| 13/8 = [[Golden meantone]] (503.7855{{c}})
{| class="wikitable center-all"
| 8/5 = [[Meantone]]
! colspan="6" | Generator
| 5/3 = Meantone / [[meanpop]]
! Cents
| 5/2 = ↕&nbsp;[[Flattone]]
! L
| 13/5 = Golden flattone (506.9365{{c}})
! s
}}
! L/s
! Comments
|-
| 5\12 || || || || || || 500.000 || 1 || 1 || 1.000 ||
|-
| || || || || || 28\67 || 501.493 || 6 || 5 || 1.200 ||
|-
| || || || || 23\55 || || 501.818 || 5 || 4 || 1.250 ||
|-
| || || || || || 41\98 || 502.041 || 9 || 7 || 1.286 ||
|-
| || || || 18\43 || || || 502.326 || 4 || 3 || 1.333 || [[Meantone]] / [[meridetone]]
|-
| || || || || || 49\117 || 502.564 || 11 || 8 || 1.375 ||
|-
| || || || || 31\74 || || 502.703 || 7 || 5 || 1.400 || [[Meantone]] / [[huygens]] / [[grosstone]]
|-
| || || || || || 44\105 || 502.857 || 10 || 7 || 1.428 ||
|-
| || || 13\31 || || || || 503.226 || 3 || 2 || 1.500 ||
|-
| || || || || || 47\112 || 503.571 || 11 || 7 || 1.571 ||
|-
| || || || || 34\81 || || 503.704 || 8 || 5 || 1.600 || [[Meantone]]
|-
| || || || || || 55\131 || 503.817 || 13 || 8 || 1.625 || [[Golden meantone]] (503.7855¢)
|-
| || || || 21\50 || || || 504.000 || 5 || 3 || 1.667 || [[Meantone]] / [[meanpop]]
|-
| || || || || || 50\119 || 504.202 || 12 || 7 || 1.714 ||
|-
| || || || || 29\69 || || 504.348 || 7 || 4 || 1.750 ||
|-
| || || || || || 37\88 || 504.545 || 9 || 5 || 1.800 ||
|-
| || 8\19 || || || || || 505.263 || 2 || 1 || 2.000 || Basic m-chromatic <br>(Generators smaller than this are proper)
|-
| || || || || || 35\83 || 506.024 || 9 || 4 || 2.250 ||
|-
| || || || || 27\64 || || 506.250 || 7 || 3 || 2.333 ||
|-
| || || || || || 46\109 || 506.422 || 12 || 5 || 2.400 ||
|-
| || || || 19\45 || || || 506.667 || 5 || 2 || 2.500 || [[Flattone]]
|-
| || || || || || 49\116 || 506.897 || 13 || 5 || 2.600 || Golden flattone (506.9365¢)
|-
| || || || || 30\71 || || 507.042 || 8 || 3 || 2.667 ||
|-
| || || || || || 41\97 || 507.216 || 11 || 4 || 2.750 ||
|-
| || || 11\26 || || || || 507.692 || 3 || 1 || 3.000 ||
|-
| || || || || || 36\85 || 508.235 || 10 || 3 || 3.333 ||
|-
| || || || || 25\59 || || 508.475 || 7 || 2 || 3.500 ||
|-
| || || || || || 39\92 || 508.696 || 11 || 3 || 3.667 ||
|-
| || || || 14\33 || || || 509.091 || 4 || 1 || 4.000 ||
|-
| || || || || || 31\73 || 509.589 || 9 || 2 || 4.500 ||
|-
| || || || || 17\40 || || 510.000 || 5 || 1 || 5.000 ||
|-
| || || || || || 20\47 || 510.638 || 6 || 1 || 6.000 ||
|-
| 3\7 || || || || || || 514.286 || 1 || 0 || → inf ||
|}


[[Category:12-tone scales]]
[[Category:12-tone scales]]
[[Category:M-chromatic| ]] <!-- main article -->
[[Category:M-chromatic| ]]<!-- main article -->
[[Category:Chromatic scales]]
[[Category:Chromatic scales]]
Retrieved from "https://en.xen.wiki/w/7L_5s"