5L 5s: Difference between revisions

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{{Infobox MOS

| Name = blackwood

| Periods = 5

| nLargeSteps = 5

| nSmallSteps = 5

| Equalized = 1

| Paucitonic = 0

| Pattern = LsLsLsLsLs

}}

'''5L 5s''' refers to the structure of octave-equivalent [[MOS]] scales with period 1\5 (one degree of [[5edo]] = 240¢) and generators ranging from 1\10 (one degree of [[10edo]] = 120¢) to 1\5 (240¢). In the case of 10edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). There is only one significant harmonic entropy minimum with this MOS pattern: [[Archytas_clan|blackwood]], in which intervals of the prime numbers 3 and 7 are all represented using steps of [[5edo|5edo]], and the generator gets you to intervals of 5 like 6/5, 5/4, or 7/5. Hence from a regular temperament perspective, this MOS pattern is essentially synonymous with blackwood.

@@ Line 1: / Line 1: @@
+{{Infobox MOS
+| Name = blackwood
+| Periods = 5
+| nLargeSteps = 5
+| nSmallSteps = 5
+| Equalized = 1
+| Paucitonic = 0
+| Pattern = LsLsLsLsLs
+}}
 '''5L 5s''' refers to the structure of octave-equivalent [[MOS]] scales with period 1\5 (one degree of [[5edo]] = 240¢) and generators ranging from 1\10 (one degree of [[10edo]] = 120¢) to 1\5 (240¢). In the case of 10edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). There is only one significant harmonic entropy minimum with this MOS pattern: [[Archytas_clan|blackwood]], in which intervals of the prime numbers 3 and 7 are all represented using steps of [[5edo|5edo]], and the generator gets you to intervals of 5 like 6/5, 5/4, or 7/5. Hence from a regular temperament perspective, this MOS pattern is essentially synonymous with blackwood.