User:VectorGraphics/Systematic MOS names

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Range MOS
0-92c 1L 12s baker's dozenal
92-100c 1L 11s dozenal 12L 1s intradozenal
100-109c 1L 10s elevenary 11L 1s intraelevenary
109-120c 1L 9s decimal 10L 1s intradecimal
120-133c 1L 8s nonary 9L 1s intranonary
133-141c 1L 7s octal 8L 1s intraoctal 9L 8s distoctal
141-150c 8L 9s proxoctal
150-160c 1L 6s septimal 7L 1s intraseptimal 8L 7s distoseptimal
160-171c 7L 8s proxiseptimal
171-185c 1L 5s seximal 6L 1s intraseximal 7L 6s distoseximal
185-200c 6L 7s proxiseximal
200-218c 1L 4s quinary 5L 1s intraquinary 6L 5s distoquinary
218-240c 5L 6s proxiquinary
240-257c 1L 3s quaternary 4L 1s intraquaternary 5L 4s indic 5L 9s distindic
257-267c 9L 5s proxindic
267-276c 4L 5s caerulic 9L 4s disticaerulic
276-300c 4L 9s proxicaerulic
300-327c 1L 2s trinary 3L 1s intratrinary 4L 3s viridic 4L 7s distiviridic
327-343c 7L 4s proxiviridic
343-360c 3L 4s flavic 7L 3s distoflavic
360-369c 3L 7s proxiflavic 10L 3s pi-proxiflavic
369-400c 3L 10s mu-proxiflavic
400-436c 1L 1s binary 2L 1s intrabinary 3L 2s rubric 3L 5s distorubric 3L 8s pi-distorubric
436-450c 8L 3s mu-distorubric
450-462c 5L 3s proxirubric 8L 5s pi-proxirubric
462-480c 5L 8s mu-proxirubric
480-500c 2L 3s albic 5L 2s intralbic 5L 7s distalbic
500-514c 7L 5s proximalbic
514-525c 2L 5s semitrinary 7L 2s intrasemitrinary 7L 9s distosemitrinary
525-533c 9L 7s proxisemitrinary
533-545c 2L 7s semiquaternary 9L 2s intrasemiquaternary
545-554c 2L 9s semiquinary 11L 2s intrasemiquinary
554-600c 2L 11s semiseximal

Methodology:

  1. For "first-order MOSes" (that is, monolarge MOSes), they are given names based on the number of steps. (The numbers are chosen based on jan Misali's base naming system.)
  2. The monosmall daughter MOSes are given the name of "intra-" plus the first-order MOS name.
  3. For "third-order MOSes" up to 10 notes (i.e. reasonable albitonic 3rd-order scales) are given names corresponding to their generator ranges in terms of color notation: wa (fourths) = white (albic), ru (supermajor thirds) = red (rubric), yo (major thirds) = yellow (flavic), and gu (minor thirds) = green (viridic).
    1. For the zo range, since 7/6 falls pretty much exactly on a MOS boundary, the "blue" has been split into "sky-blue" (caerulic) (closer to white, i.e. including the Pythagorean minor third), and "indigo" (indic) (a darker, deeper shade of blue).
  4. The 4th-order MOSes (and 3rd-order MOSes larger than 10 notes) are labelled using "proxi-" (closer to 600c) and "disto-" (farther from 600c) prefixes. These replace "intra" if present.
  5. The descendants of those MOSes are labelled using "pi-" (farther from 600c) and "mu-" (closer to 600c). These are usually chromatic scales.
  6. The descendants of THOSE MOSes are labelled using "sigma-", "pi-kin-", "mu-kin-", and "phi" respectively, from farthest to closest to 600c.
    1. For further descendants, "a" (closer to 600c) and "b" (farther from 600c) are suffixed.
  7. A special case is made for scales beyond albic closest to 600c: for a scale 2L Ns, the name is "semi" + the number root corresponding to (N+1)/2. "intra" is applied to these like with monolarge scales.
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