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{{Infobox MOS
{{Infobox MOS}}
| Periods = 1
{{MOS intro|Other Names=m-chromatic}}
| nLargeSteps = 7
 
| nSmallSteps = 5
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]].
| Equalized = 5
 
| Paucitonic = 3
Meantone is the only notable harmonic entropy minimum.
| Pattern = LLsLsLLsLsLs
 
| Name = m-chromatic
== Scale properties ==
}}
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}


'''7L 5s''' is the MOS pattern of the [[meantone]] chromatic scale, which is the only notable harmonic entropy minimum in this range of possible scales. In meantone, "diatonic" semitones (~16/15), such as appear in the [[5L 2s|diatonic scale]], for example B-C, are larger than "chromatic" semitones (~25/24), the intervals by which flats and sharps alter pitches.
=== Modes ===
{{MOS mode degrees}}


The meantone chromatic scale with generator between 5\12 (500 cents) and 8\19 (505.263 cents) is [[Rothenberg propriety|proper]].
=== 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.


== Modes ==
{{MOS modes
* 11|0 LLsLsLLsLsLs
| Table Headers=
* 10|1 LLsLsLsLLsLs
Mode names<br>(by [[User:Eliora|Eliora]]) $
* 9|2 LsLLsLsLLsLs
Mode names<br>(by [[User:Ganaram inukshuk|Ganaram]])
* 8|3 LsLLsLsLsLLs
| Table Entries=
* 7|4 LsLsLLsLsLLs
July $
* 6|5 LsLsLLsLsLsL
Martian $
* 5|6 LsLsLsLLsLsL
December $
* 4|7 sLLsLsLLsLsL
Aprilian $
* 3|8 sLLsLsLsLLsL
May $
* 2|9 sLsLLsLsLLsL
Maian $
* 1|10 sLsLLsLsLsLL
October $
* 0|11 sLsLsLLsLsLL
Junian $
March $
Quintillian <br>Julian $
August $
Sextilian <br>Augustan $
January $
Septembian $
June $
Octobian $
November $
Novembian $
April $
Decembian $
September $
Janian $
February $
Februan $
}}


== Scales ==
== Scales ==
* [[Meaneb471a]] – an equal beating tuning of meantone
* [[Meantone12]] – 31edo tuning
* [[Meantone12]] – 31edo tuning
* [[Meaneb471a]] – equal beating tuning of meantone
* [[Ratwolf]] – 20/13 wolf fifth tuning of meantone
* [[Meaneb471]] – the other equal beating tuning of meantone
* [[Flattone12]] – 13-limit POTE tuning of flattone
* [[Flattone12]] – 13-limit POTE tuning of flattone


== Scale tree ==
== Scale tree ==
Chroma-positive generator: 500 cents (5\12) to 514.2857 cents (3\7)
{{MOS tuning spectrum
 
| 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:Scale theory]]
[[Category:12-tone scales]]
[[Category:12-tone scales]]
[[Category:Abstract MOS patterns]]
[[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"