Lumatone mapping for 100edo: Difference between revisions
→Other Mappings: --> Unnamed rank-2 temperament; flesh out description a bit; insert Bryan Deister's unnamed rank-3 temperament mapping after this |
→Unnamed rank-2 temperament: --> Submerged-related rank-2 temperament |
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{{Lumatone EDO mapping|n=100|start=12|xstep=8|ystep=-7}} | {{Lumatone EDO mapping|n=100|start=12|xstep=8|ystep=-7}} | ||
== | == Submerged-related rank-2 temperament == | ||
To maximize your range while covering the full gamut, use the [[3L 10s]] (10:7 step ratio) scale generated by a submajor third (in between ~[[5/4]] and ~[[16/13]]) of 31/100, which functions as a slightly sharp tridecimal submajor third ~[[26/21]] and a near-just (only slightly flat) tricesimoprimal submajor third ~[[31/25]]. The range is just under 2½ octaves, which slope mildly upwards. | To maximize your range while covering the full gamut, use the [[3L 10s]] (10:7 step ratio) scale generated by a submajor third (in between ~[[5/4]] and ~[[16/13]]) of 31/100, which functions as a slightly sharp tridecimal submajor third ~[[26/21]] and a near-just (only slightly flat) tricesimoprimal submajor third ~[[31/25]]. The temperament is related to [[submerged]] in that 11 generators stack to make the flat ~[[4/3]] (corresponding to the sharp fifth of 100edo), but it misses most of the other intervals of submerged temperament. The range is just under 2½ octaves, which slope mildly upwards. | ||
{{Lumatone EDO mapping|n=100|start=74|xstep=7|ystep=3}} | {{Lumatone EDO mapping|n=100|start=74|xstep=7|ystep=3}} | ||