301edo: Difference between revisions

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'''301edo''' is the [[EDO|equal division of the octave]] into 301 parts of 3.~~98671~~ [[cent]]s each.

{{Infobox ET

| Prime factorization = 7 × 43

| Step size = 3.98671¢

| Fifth = 176\301 (701.66¢)

| Semitones = 28:23 (111.63¢ : 91.69¢)

| Consistency = 17

}}

The '''301 equal divisions of the octave''' ('''301edo'''), or the '''301(-tone) equal temperament''' ('''301tet''', '''301et''') when viewed from a [[regular temperament]] perspective, is the [[EDO|equal division of the octave]] into 301 parts of about 3.99 [[cent]]s each.

== Theory ==

301edo is a strong 7-limit system, and distinctly consistent through the [[17-odd-limit]]. It tempers out [[32805/32768]] in the 5-limit, [[2401/2400]] in the 7-limit, [[3025/3024]], 5632/5625, [[8019/8000]] in the 11-limit, [[729/728]], [[847/845]], [[1001/1000]], [[1716/1715]], [[2200/2197]] in the 13-limit, and 561/560, [[833/832]], [[1089/1088]], [[1156/1155]], 1275/1274 and [[1701/1700]] in the 17-limit. Because it tempers out both 32805/32768 and 2401/2400, it supports the [[sesquiquartififths]] temperament.

@@ Line 1: / Line 1: @@
-'''301edo''' is the [[EDO|equal division of the octave]] into 301 parts of 3.98671 [[cent]]s each.
+{{Infobox ET
+| Prime factorization = 7 × 43
+| Step size = 3.98671¢
+| Fifth = 176\301 (701.66¢)
+| Semitones = 28:23 (111.63¢ : 91.69¢)
+| Consistency = 17
+}}
+The '''301 equal divisions of the octave''' ('''301edo'''), or the '''301(-tone) equal temperament''' ('''301tet''', '''301et''') when viewed from a [[regular temperament]] perspective, is the [[EDO|equal division of the octave]] into 301 parts of about 3.99 [[cent]]s each.
+== Theory ==
 edo is a strong 7-limit system, and distinctly consistent through the [[17-odd-limit]]. It tempers out [[32805/32768]] in the 5-limit, [[2401/2400]] in the 7-limit, [[3025/3024]], 5632/5625, [[8019/8000]] in the 11-limit, [[729/728]], [[847/845]], [[1001/1000]], [[1716/1715]], [[2200/2197]] in the 13-limit, and 561/560, [[833/832]], [[1089/1088]], [[1156/1155]], 1275/1274 and [[1701/1700]] in the 17-limit. Because it tempers out both 32805/32768 and 2401/2400, it supports the [[sesquiquartififths]] temperament.