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. The [[TAMNAMS #Step ratio spectrum|TAMNAMS]] system has names for both specific ratios and ranges of ratios. | 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. The [[TAMNAMS #Step ratio spectrum|TAMNAMS]] system has names for both specific ratios and ranges of ratios. | ||
== Naming == | == Naming and notation == | ||
Any MOS can be clearly specified by giving its [[signature]], i.e. the number of small and large steps, which is typically notated e.g. "5L 2s." Sometimes, if one simply wants to talk about step sizes without specifying which is large and small, the notation "5a 2b" is used (which could refer to either [[5L 2s|diatonic]] or [[2L 5s|anti-diatonic]]). By default, the [[equave]] of a mos aL bs is assumed to be [[2/1]]. To specify a non-octave equave, "{{angbr|equave}}" is placed after the signature, e.g. [[4L 5s (3/1-equivalent)|4L 5s{{angbr|3/1}}]]. Using chevrons/angle brackets is recommended; using greater-than and less-than signs ("<equave>") is acceptable, but they can conflict with the HTML usage of these symbols when letters are used as variables. | Any MOS can be clearly specified by giving its [[signature]], i.e. the number of small and large steps, which is typically notated e.g. "5L 2s." Sometimes, if one simply wants to talk about step sizes without specifying which is large and small, the notation "5a 2b" is used (which could refer to either [[5L 2s|diatonic]] or [[2L 5s|anti-diatonic]]). | ||
By default, the [[equave]] of a mos aL bs is assumed to be [[2/1]]. To specify a non-octave equave, "{{angbr|equave}}" is placed after the signature, e.g. [[4L 5s (3/1-equivalent)|4L 5s{{angbr|3/1}}]]. Using chevrons/angle brackets is recommended; using greater-than and less-than signs ("<equave>") is acceptable, but they can conflict with the HTML usage of these symbols when letters are used as variables. | |||
Several naming systems have also been proposed for MOS's, which can be seen at [[MOS naming]]. | Several naming systems have also been proposed for MOS's, which can be seen at [[MOS naming]]. | ||