289/288: Difference between revisions

@@ Line 20: / Line 20: @@
 == Temperaments ==
-Tempering out this comma results in the rank-6 '''semitonismic temperament''', or in the 2.3.17 subgroup, the rank-2 '''semitonic temperament'''. In either case the [[octave]] is split into two equal parts, each representing 17/12~24/17, and so is the whole tone, each representing 17/16~18/17. Odd edos cannot temper it out.
+Tempering out this comma results in the rank-2 '''semitonic temperament''' in the 2.3.17 subgroup, or the rank-6 '''semitonismic temperament''' in the full [[17-limit]]. In either case, the [[octave]] is split into two equal parts, each representing 17/12~24/17, and thus so is the whole tone, each representing 17/16~18/17. Odd edos cannot temper it out.
+=== Semitonic ===
+[[Subgroup]]: 2.3.17
+{{Mapping|legend=2| 2 0 5 | 0 1 1 }}
+: sval mapping generators: ~17/12, ~3
+[[Optimal tuning]] ([[CTE]]): ~17/12 = 1\2, ~3/2 = 702.3472 (~17/16 = 102.3472)
+{{Optimal ET sequence|legend=1| 12, 58, 70, 82, 94, 106, 118, 224g }}
 === Semitonismic ===
@@ Line 46: / Line 57: @@
 {{Optimal ET sequence|legend=1| 34d, 38df, 46, 58, 72, 130, 140, 190g, 212g, 270g, 342fg, 402defgg, 460gg, 532dfggg, 672defggg }}
-=== Semitonic ===
-[[Subgroup]]: 2.3.17
-{{Mapping|legend=2| 2 0 5 | 0 1 1 }}
-: sval mapping generators: ~17/12, ~3
-[[Optimal tuning]] ([[CTE]]): ~17/12 = 1\2, ~3/2 = 702.3472 (~17/16 = 102.3472)
-{{Optimal ET sequence|legend=1| 12, 58, 70, 82, 94, 106, 118, 224g }}
 == Etymology ==