5L 2s: Difference between revisions

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One way of distinguishing the '''diatonic''' scale is by considering it a [[MOS scale|moment of symmetry]] scale produced by a chain of "fifths" (or "fourths") with the step combiniation of '''5L 2s'''. Among the most well-known variants of this MOS proper are [[12edo]]'s diatonic scale along with both the Pythagorean diatonic scale and the various meantone systems.  Other similar scales referred to by the term "diatonic" can be arrived at different ways- for example, through just intonation procedures, or with tetrachords. However, it should be noted that at least the majority of the other scales that fall under this category- such as the just intonation scales that use more than one size of whole tone- are actually [[muddle]]s or [[MODmuddle]]s that both closely resemble and are derived from this MOS.
One way of distinguishing the '''diatonic''' scale is by considering it a [[MOS scale|moment of symmetry]] scale produced by a chain of "fifths" (or "fourths") with the step combiniation of '''5L 2s'''. Among the most well-known variants of this MOS proper are [[12edo]]'s diatonic scale along with both the Pythagorean diatonic scale and the various meantone systems.  Other similar scales referred to by the term "diatonic" can be arrived at different ways – for example, through just intonation procedures, or with tetrachords. However, it should be noted that at least the majority of the other scales that fall under this category – such as the just intonation scales that use more than one size of whole tone – are actually [[muddle]]s or [[MODmuddle]]s that both closely resemble and are derived from this MOS.


==Substituting step sizes==
== Substituting step sizes ==


The 5L 2s MOS scale has this generalized form.
The 5L 2s MOS scale has this generalized form.
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== Related Scales ==
== Related Scales ==
{{see also| 5L 2s MODMOSes }} ''and [[5L 2s Muddles]]''
{{main| 5L 2s MODMOSes }} ''and [[5L 2s Muddles]]''


Because the diatonic scale is so widely used, it should be no surprise that there are a number of noteworthy scales of different sorts related to this MOS.
Because the diatonic scale is so widely used, it should be no surprise that there are a number of noteworthy scales of different sorts related to this MOS.
== Rank-2 temperaments ==
== Rank-2 temperaments ==
:''See [[5L 2s/Temperaments]].''
{{main| 5L 2s/Temperaments }}
 
[[Category:Diatonic| ]] <!-- main article -->
[[Category:Scales]]
[[Category:7-tone scales]]
[[Category:MOS scales]]
[[Category:Abstract MOS patterns]]