MOS scale: Difference between revisions

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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 the next section.

== Patterns ==

[[User:IlL|Inthar]] suggests a standardized 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]].

Most of these names are still provisional; the relatively established names have been bolded.

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.

=== 6-note MOSes ===

* [[1L 5s]]: antimachinoid

* [[2L 4s]]: rice (see also 6L 2s, 2L 8s or 8L 2s)

* [[3L 3s]]: trisymmetric (see also 3L 6s or 6L 3s)

* [[4L 2s]]: bicycle (see also 4L 6s or 6L 4s)

* [[5L 1s]]: machinoid

=== 7-note MOSes ===

* [[1L 6s]]: '''antiarcheotonic'''

* [[2L 5s]]: '''antidiatonic''' (see also 2L 7s or 7L 2s)

* [[3L 4s]]: '''mosh'''

* [[4L 3s]]: '''smitonic'''

* [[5L 2s]]: '''diatonic'''

* [[6L 1s]]: '''archeotonic'''

=== 8-note MOSes ===

* [[1L 7s]]: antiporcupoid

* [[2L 6s]]: antihedgehogoid (see also 2L 8s or 8L 2s)

* [[3L 5s]]: sensoid

* [[4L 4s]]: '''diminished'''

* [[5L 3s]]: '''oneirotonic'''

* [[6L 2s]]: hedgehogoid

* [[7L 1s]]: porcupoid

=== 9-note MOSes ===

* [[1L 8s]]: antibleuish

* [[2L 7s]]: joanatonic

* [[3L 6s]]: '''Tcherepnin'''

* [[4L 5s]]: orwelloid

* [[5L 4s]]: semiquartal

* [[6L 3s]]: triforceish

* [[7L 2s]]: '''superdiatonic'''

* [[8L 1s]]: bleuish (after [[bleu]])

=== 10-note MOSes ===

* [[1L 9s]]: antisinatonic

* [[2L 8s]]: jaratonic

* [[3L 7s]]: sephiroid

* [[4L 6s]]: antilemboid

* [[5L 5s]]: pentasymmetric

* [[6L 4s]]: lemboid

* [[7L 3s]]: dicotonic

* [[8L 2s]]: octodecoid

* [[9L 1s]]: sinatonic

== Step ratio spectrum ==

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* [[MOS Diagrams]], visualizations of the MOS process.

* [http://x31eq.com/temper/method.html How to Find Linear Temperaments], by [[Graham Breed]]

~~== Naming scheme ==~~

[[User:IlL|Inthar]] suggests a standardized 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]].

~~Most of these names are still provisional; the relatively established names have been bolded.~~

~~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.~~

~~=== 6-note MOSes ===~~