Mathematics of MOS: Difference between revisions

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** an equal scale (when {{nowrap|L:s {{=}} 2:1}}).
** an equal scale (when {{nowrap|L:s {{=}} 2:1}}).


Below is a diagram showing four MOS scales in logarithmic pitch space generated by 7\[[37edo]] (approx. 227¢). Each contains the ones above it and is contained by the ones below it. There are additional MOS scales that would appear above the first line with 1, 2, 3, 4, and 5 tones, but they have been omitted. The bottom line is a case where L:s=2:1, which means that there are no more MOS scales to be had -- the next stopping point is at a complete chromatic scale of [[37edo]].
Below is a diagram showing four MOS scales in logarithmic pitch space generated by 7\[[37edo]] (approx. 227¢). Each contains the ones above it and is contained by the ones below it. There are additional MOS scales that would appear above the first line with 1, 2, 3, 4, and 5 tones, but they have been omitted. The bottom line is a case where {{nowrap|L:s {{=}} 2:1}}, which means that there are no more MOS scales to be had—the next stopping point is at a complete chromatic scale of [[37edo]].


[[File:37edo_mos_07.png]]
[[File:37edo_mos_07.png]]