User:Ganaram inukshuk/Sandbox: Difference between revisions

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Test area: Updated mos intro expansions to include simple edos (equal divisions for the step ratios 2:1, 3:1, and 3:2)
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Two pieces of additional information that may be worth adding are:
Two pieces of additional information that may be worth adding are:


* That the mos has a specific step pattern that is shown using the brightest mode, and that rotations are permitted. (The template will have a link to the page for rotations.)
* The specific step pattern for the true mos. (The template will have a link to the page for rotations.)
* Small edos (or ed<nowiki><p/q>'s) that support the mos.</nowiki>
* For mosses with more than 10 notes, that the mos descends from another, TAMNAMS-named mos and how it relates back to that ancestor mos. This requires standardizing the naming scheme for descendant mosses before it can be added.
* For mosses with more than 10 notes, that the mos descends from another, TAMNAMS-named mos and how it relates back to that ancestor mos. This requires standardizing the naming scheme for descendant mosses before it can be added.
The following sections show how these additions may be worded.
The following sections show how these additions may be worded.


==== Including step patterns ====
==== Addition of step patterns ====
'''xL ys''', also called '''mosname''' or '''alt-mosname''', is a moment-of-symmetry scale consisting of x large step(s) and y small step(s), repeating every octave. This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
'''''x''L ''y''s<''p/q''>''', also called '''mosname''', is a moment-of-symmetry scale that consists of ''x'' large steps(s) and ''y'' small step(s), repeating every ''equave''. Scales of this form have a step pattern of ''step-pattern'' or some rotation thereof, with a generator that ranges from ''g1''¢ to ''g2''¢ or from ''d1''¢ or ''d2''¢. Equal divisions of the ''equave'' that support this scale's step pattern include (''2x+y'')ed''<nowiki><p/q></nowiki>'' (L = 2 and s = 1), (''3x+y'')''ed<nowiki><p/q></nowiki>'' (L = 3 and s = 1), and (''3x+2y'')ed''<nowiki><p/q></nowiki>'' (L = 3 and s = 2)''.''


'''nxL nys''', also called '''mosname''' or '''alt-mosname''', is a moment-of-symmetry scale consisting of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every octave, or every . This scale has a step pattern of step-pattern for every period, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
'''''nx''L n''y''s<''p/q''>''', also called '''mosname''', is a moment-of-symmetry scale that consists of ''nx'' large steps(s) and ''ny'' small step(s), with a period of ''x'' large step(s) and ''y'' small steps(s) that repeats every ''equave-fraction'', or ''n times'' every ''equave''. Scales of this form have a step pattern of ''step-pattern'' or some rotation thereof, with a generator that ranges from ''g1''¢ to ''g2''¢ or from ''d1''¢ or ''d2''¢. Equal divisions of the ''equave'' that support this scale's step pattern include (''2nx+ny'')ed''<nowiki><p/q></nowiki>'' (L = 2 and s = 1), (''3nx+ny'')''ed<nowiki><p/q></nowiki>'' (L = 3 and s = 1), and (''3nx+2ny'')ed''<nowiki><p/q></nowiki>'' (L = 3 and s = 2)''.''


'''xL ys<nowiki><p/q></nowiki>''', also called '''mosname''' or '''alt-mosname''', is a non-octave moment-of-symmetry scale consisting of x large step(s) and y small step(s), repeating every interval of p/q (e¢). This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
==== Adding mos descendant names ====
'''''x''L ''y''s<''p/q''>''', also called '''mosname''', is a(n) ''extension'' scale of the moment-of-symmetry scale '''''z''L ''w''s''''','' expanded to ''x'' large steps(s) and ''y'' small step(s), repeating every ''equave''. Scales of this form have a step pattern of ''step-pattern'' or some rotation thereof, with a generator that ranges from ''g1''¢ to ''g2''¢ or from ''d1''¢ or ''d2''¢. Equal divisions of the ''equave'' that support this scale's step pattern include (''2nx+ny'')ed''<nowiki><p/q></nowiki>'' (L = 2 and s = 1), (''3nx+ny'')''ed<nowiki><p/q></nowiki>'' (L = 3 and s = 1), and (''3nx+2ny'')ed''<nowiki><p/q></nowiki>'' (L = 3 and s = 2)''.''


'''nxL nys<nowiki><p/q></nowiki>''', also called '''mosname''' or '''alt-mosname''', is a non-octave moment-of-symmetry scale consisting of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every interval of p/q (e¢), or every (e/n)¢. This scale has a step pattern of step-pattern for every period, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
'''''nx''L ''ny''s<''p/q''>''', also called '''mosname''', is a(n) ''extension'' scale of the moment-of-symmetry scale '''''nz''L ''nw''s''', expanded to ''nx'' large steps(s) and ''ny'' small step(s), with a period of ''x'' large step(s) and ''y'' small steps(s) that repeats every ''equave-fraction'', or ''n times'' every ''equave''. Scales of this form have a step pattern of ''step-pattern'' or some rotation thereof, with a generator that ranges from ''g1''¢ to ''g2''¢ or from ''d1''¢ or ''d2''¢. Equal divisions of the ''equave'' that support this scale's step pattern include (''2x+y'')ed''<nowiki><p/q></nowiki>'' (L = 2 and s = 1), (''3x+y'')''ed<nowiki><p/q></nowiki>'' (L = 3 and s = 1), and (''3x+2y'')ed''<nowiki><p/q></nowiki>'' (L = 3 and s = 2)''.''


==== Step pattern examples ====
==== Examples ====
'''5L 2s''', also called '''diatonic''', is a moment of symmetry scale consisting of 5 large steps and 2 small steps, repeating every octave. This scale has a step pattern of LLLsLLs, or some rotation thereof, and is made using a generator ranging from 685.714¢ to 720¢, or from 480¢ to 514.286¢.
'''5L 7s''', also called '''(hard) diachromatic''' or '''p-chromatic''', is a chromatic scale of the moment-of-symmetry scale 5L 2s, expanded to 5 large steps and 7 small steps, repeating every octave. This scale has a step pattern of LssLsLsLssLs, or some rotation thereof, with a generator that ranges from 700¢ to 720¢, or from 480¢ to 500¢. Equal divisions of the octave that support this scale's step pattern include 17edo, 22edo, and 29edo.  
 
'''3L 6s''', also called '''tcherepnin''', is a moment of symmetry scale consisting of 3 large steps and 6 small steps, with a period of 1 large step and 2 small steps that repeats 3 times every octave, or every 400¢. This scale has a step pattern of Lss, or some rotation thereof for each period, and is made using a generator ranging from 266.667¢ to 400¢, or from 0¢ to 133.333¢.
 
==== Including mos descendant names ====
'''xL ys''', also called '''mosname''' or '''alt-mosname''', is a chromatic/enharmonic/subchromatic/nth-descendant scale of the moment-of-symmetry scale zL ws and consists of x large step(s) and y small step(s), repeating every octave. This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
 
'''nxL nys''', also called '''mosname''' or '''alt-mosname''', is a chromatic/enharmonic/subchromatic/nth-descendant scale of the moment-of-symmetry scale nzL nws and consists of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every octave, or every p¢. This scale has a step pattern of step-pattern, or some rotation thereof for each period, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
 
'''xL ys<nowiki><p/q></nowiki>''', also called '''mosname''' or '''alt-mosname''', is a chromatic/enharmonic/subchromatic/nth-descendant scale of the non-octave moment-of-symmetry scale zL ws and consists of x large step(s) and y small step(s), repeating every interval of p/q (e¢). This scale has a step pattern of step-pattern, or some rotation thereof, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
 
'''nxL nys<nowiki><p/q></nowiki>''', also called '''mosname''' or '''alt-mosname''', is a chromatic/enharmonic/subchromatic/nth-descendant scale of the non-octave moment-of-symmetry scale nzL nws and consists of nx large step(s) and ny small step(s), with a period of x large step(s) and y small step(s) that repeats n times every interval of p/q (e¢), or every (e/n)¢. This scale has a step pattern of step-pattern, or some rotation thereof for each period, and is made using a generator ranging from g1¢ to g2¢, or from d1¢ to d2¢.
 
==== Mos descendant examples ====
'''5L 7s''', also called '''(hard) diachromatic''' or '''p-chromatic''', is a chromatic scale of the moment of symmetry scale 5L 2s and consists of 5 large steps and 7 small steps, repeating every octave. This scale has a step pattern of LssLsLsLssLs, or some rotation thereof, and is made using a generator ranging from 700¢ to 720¢, or from 480¢ to 500¢.  


=== Mos degrees template with new code===
=== Mos degrees template with new code===