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| As for using MOS scales in practice for making music, the period and equivalence interval are often taken to be the octave, but an additional parameter is required for defining a scale: the ''step ratio'', which is the ratio of the small step (usually denoted ''s'') to the large step (usually denoted ''L''). This is usually written as ''L''/''s'', however, using ''s''/''L'' has the advantage of avoiding division by zero in the trivial case where ''s'' = 0. Different step ratios can produce very varied sounding scales (and very varied corresponding potential temperament interpretations) for a given MOS pattern and period, so it's useful to consider a spectrum of simple step ratios for tunings. On this basis, a system has been proposed by a few users, detailed in a later section. | | As for using MOS scales in practice for making music, the period and equivalence interval are often taken to be the octave, but an additional parameter is required for defining a scale: the ''step ratio'', which is the ratio of the small step (usually denoted ''s'') to the large step (usually denoted ''L''). This is usually written as ''L''/''s'', however, using ''s''/''L'' has the advantage of avoiding division by zero in the trivial case where ''s'' = 0. Different step ratios can produce very varied sounding scales (and very varied corresponding potential temperament interpretations) for a given MOS pattern and period, so it's useful to consider a spectrum of simple step ratios for tunings. On this basis, a system has been proposed by a few users, detailed in a later section. |
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| == Patterns ==
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| The following is a standardized, nearly finalized set of temperament-agnostic names for octave-equivalent MOS scales of sizes between 6 and 10. Some of these come from temperament-agnostic MOS names coined by [[Igliashon Jones]] and others. Some are directly taken from temperament-based names for scales, often because the regular temperament is the only "good" or simple temperament in the range. 1L ns names are intentionally unspecific because the generator can be anywhere from the octave to to 1\(n+1)) and can better be viewed as subsets of larger MOSes, for example [[1L 6s]] as a subset of [[7L 1s]].
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| For referring to intervals in an unspecified MOS, generic names such as "small fifth" or "large second" are typically used; these can be used to unambiguously refer to an interval in any MOS.
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| See [[MOS naming]] for another naming scheme. See the [[Catalog of MOS]] for a listing of MOS in the more usual Ls scheme. See also the [[pergen]]s page.
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| {| class="wikitable center-all"
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| |+ MOS pattern names
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| !colspan=5| 6-note MOSes
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| ! Pattern !! Name !! Interval prefix<ref name="prefix">used in interval names, e.g. "perfect oneirofourth"</ref> !! Abbreviation<ref name="abbr">used in abbreviations of interval names, e.g. "Po4"</ref> !! Notes
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| | [[1L 5s]] || antimachinoid || || ||
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| | [[2L 4s]] || rice || rice- || ri || range splits into echinoid[6] and antiechinoid[6] at 1\8 = 150 cents
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| | [[3L 3s]] || trisymmetric || || || range splits into Tcherepnin[6] and hyrulic[6] at 1\9 = 133.3 cents
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| | [[4L 2s]] || bicycle || bike- || bike || range splits into antilemboid[6] and lemboid[6] at 1\5 = 240 cents
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| | [[5L 1s]] || machinoid || mech- || me ||
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| !colspan=5| 7-note MOSes
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| ! Pattern !! Name !! Interval prefix<ref name="prefix"/> !! Abbreviation<ref name="abbr"/> !! Notes
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| | [[1L 6s]] || antiarcheotonic || || ||
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| | [[2L 5s]] || antidiatonic || pel- || pel || range splits into mavila[7] and joanatonic[7] at 5\9 = 666.7 cents
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| | [[3L 4s]] || mosh || mosh- || mosh || range splits into dicoid[7] and sephiroid[7] at 3\10 = 360 cents
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| | [[4L 3s]] || smitonic || smi- || smi ||
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| | [[5L 2s]] || diatonic || ''none'' || ''none'' ||
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| | [[6L 1s]] || archeotonic || archeo- || ar
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| !colspan=5| 8-note MOSes
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| ! Pattern !! Name !! Interval prefix<ref name="prefix"/> !! Abbreviation<ref name="abbr"/> !! Notes
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| | [[1L 7s]] || antiporcupoid || || ||
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| | [[2L 6s]] || antiechinoid || || || range splits into pajaroid[8] and octodecoid[8] at 1\10 = 120 cents
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| | [[3L 5s]] || sensoid || sen- || sen ||
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| | [[4L 4s]] || diminished || || ||
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| | [[5L 3s]] || oneirotonic || oneiro- || o ||
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| | [[6L 2s]] || echinoid || echi- || ech ||
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| | [[7L 1s]] || porcupoid || porcu- || por ||
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| !colspan=5| 9-note MOSes
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| ! Pattern !! Name !! Interval prefix<ref name="prefix"/> !! Abbreviation<ref name="abbr"/> !! Notes
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| | [[1L 8s]] || antibleuish || || ||
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| | [[2L 7s]] || joanatonic || jo- || jo ||
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| | [[3L 6s]] || tcherepnin || tcher- || tch ||
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| | [[4L 5s]] || orwelloid || or- || or ||
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| | [[5L 4s]] || semiquartal || sequar- || seq ||
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| | [[6L 3s]] || hyrulic || hyru- || hy ||
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| | [[7L 2s]] || mavila || mavi- || ma ||
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| | [[8L 1s]] || bleu || bleu- || bl ||
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| !colspan=5| 10-note MOSes
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| ! Pattern !! Name !! Interval prefix<ref name="prefix"/> !! Abbreviation<ref name="abbr"/> !! Notes
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| | [[1L 9s]] || antisinatonic || || ||
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| | [[2L 8s]] || pajaroid || || ||
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| | [[3L 7s]] || sephiroid || sephi- || seph ||
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| | [[4L 6s]] || antilemboid || || ||
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| | [[5L 5s]] || blackwood, pentasymmetric || || ||
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| | [[6L 4s]] || lemboid || lem- || lem ||
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| | [[7L 3s]] || dicoid || dico- || dico ||
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| | [[8L 2s]] || biggie || biggie- || bg ||
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| | [[9L 1s]] || sinatonic || sina- || si ||
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| |}
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| <references/>
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| == Step ratio spectrum == | | == Step ratio spectrum == |