EDO: Difference between revisions

Line 64:

=== Non-tuning properties ===

You will quickly find that the ''factorization'' of the total number of notes in each EDO has consequences for its structure and the way it relates to other EDOs. For example, 6 = 2 x 3, so 6edo contains all of the intervals in both 2edo and 3edo. On the other hand, 7 is a prime number, so no 7edo intervals are redundant with those of smaller EDOs. See [[Prime EDO]] for more details.

You will quickly find that the ''factorization'' of the total number of notes in each EDO has consequences for its structure and the way it relates to other EDOs. For example, 6 = 2 x 3, so 6edo contains all of the intervals in both 2edo and 3edo. On the other hand, 7 is a prime number, so no 7edo intervals are redundant with those of smaller EDOs. See [[Prime EDO]] and [[Superabundant EDO]] for more details.

The [[~~Moments of symmetry~~]] paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales, as well as finding common melodic patterns between multiple EDOs.

The [[MOS]] paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales, as well as finding common melodic patterns between multiple EDOs.

=== Adding EDOs ===

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{{EDOs

| 1000, 1012, 1080, 1106, 1065, 1131, 1171, 1178, 1200, 1236, 1308, 1395, 1448, 1506, 1536, 1578, 1600, 1783, 1789, 1817, 1848, 1889, 1920

| 1000, 1012, 1080, 1106, 1065, 1131, 1171, 1178, 1200, 1236, 1308, 1395, 1448, 1506, 1536, 1578, 1600, 1783, 1789, 1794, 1817, 1848, 1889, 1920

}}

Line 455:

{{EDOs

| 2000, 2190, 2460, 2513, 2554, 2684, 3072, 3125, 3395, 3558, 3566, 3600, 3684, 4190, 4231, 4296, 4501, 4973, 5585, 6079, 6691, 7033, 7980, 8269, 8539

| 2000, 2190, 2460, 2513, 2554, 2684, 3072, 3125, 3395, 3558, 3566, 3600, 3684, 4190, 4231, 4296, 4501, 4973, 5040, 5585, 6079, 6691, 7033, 7980, 8269, 8539

}}

@@ Line 64: / Line 64: @@
 === Non-tuning properties ===
-You will quickly find that the ''factorization'' of the total number of notes in each EDO has consequences for its structure and the way it relates to other EDOs. For example, 6 = 2 x 3, so 6edo contains all of the intervals in both 2edo and 3edo. On the other hand, 7 is a prime number, so no 7edo intervals are redundant with those of smaller EDOs. See [[Prime EDO]] for more details.
+You will quickly find that the ''factorization'' of the total number of notes in each EDO has consequences for its structure and the way it relates to other EDOs. For example, 6 = 2 x 3, so 6edo contains all of the intervals in both 2edo and 3edo. On the other hand, 7 is a prime number, so no 7edo intervals are redundant with those of smaller EDOs. See [[Prime EDO]] and [[Superabundant EDO]] for more details.
-The [[Moments of symmetry]] paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales, as well as finding common melodic patterns between multiple EDOs.
+The [[MOS]] paradigm is a fascinating way of thinking about building sub-scales of EDOs and relating them to non-EDO scales, as well as finding common melodic patterns between multiple EDOs.
 === Adding EDOs ===
@@ Line 449: / Line 449: @@
 {{EDOs
-| 1000, 1012, 1080, 1106, 1065, 1131, 1171, 1178, 1200, 1236, 1308, 1395, 1448, 1506, 1536, 1578, 1600, 1783, 1789, 1817, 1848, 1889, 1920
+| 1000, 1012, 1080, 1106, 1065, 1131, 1171, 1178, 1200, 1236, 1308, 1395, 1448, 1506, 1536, 1578, 1600, 1783, 1789, 1794, 1817, 1848, 1889, 1920
 }}
@@ Line 455: / Line 455: @@
 {{EDOs
-| 2000, 2190, 2460, 2513, 2554, 2684, 3072, 3125, 3395, 3558, 3566, 3600, 3684, 4190, 4231, 4296, 4501, 4973, 5585, 6079, 6691, 7033, 7980, 8269, 8539
+| 2000, 2190, 2460, 2513, 2554, 2684, 3072, 3125, 3395, 3558, 3566, 3600, 3684, 4190, 4231, 4296, 4501, 4973, 5040, 5585, 6079, 6691, 7033, 7980, 8269, 8539
 }}