Highly composite EDO: Difference between revisions

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{{EDOs|1, 2, 4, 6, 12, 24, 36, 48, 60, 120, 180, 240, 360, 720, 840, 1260, 1680, 2520, 5040, 10080, 15120, 25200, 27720, 55440, 110880, 166320, 277200, 332640, 554400, 665280, 720720, 1441440, 2162160, 3603600, 4324320, 7207200, 8648640, 10810800, 21621600}}.

Superabundant EDOs that are also highly composite, excluding the first 19:

Superabundant EDOs that are also highly composite, excluding the first 19: 10080, 15120, 25200, 27720, 55440, 110880, 166320, 277200, 332640, 554400, 665280, 720720, 1441440, 2162160, 3603600, 4324320, 7207200, 8648640, 10810800, 21621600, 36756720, 61261200, 73513440, 122522400, 147026880, 183783600, 367567200, 698377680, 735134400.

10080, 15120, 25200, 27720, 55440, 110880, 166320, 277200, 332640, 554400, 665280, 720720, 1441440, 2162160, 3603600, 4324320, 7207200, 8648640, 10810800, 21621600, 36756720, 61261200, 73513440, 122522400, 147026880, 183783600, 367567200, 698377680, 735134400.

The sequence is finite and has 430 terms starting with 10080.

12edo is the predominantly used tuning in the world today, and in addition it is the only known so far highly composite EDO that's also a zeta edo. Others have not been found yet, and given the lack of such EDOs until hundreds of thousands it's likely if another one is found, it would be of any harmonic use since it's amount of steps would be astronomical.

== Extension ==

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 {{EDOs|1, 2, 4, 6, 12, 24, 36, 48, 60, 120, 180, 240, 360, 720, 840, 1260, 1680, 2520, 5040, 10080, 15120, 25200, 27720, 55440, 110880, 166320, 277200, 332640, 554400, 665280, 720720, 1441440, 2162160, 3603600, 4324320, 7207200, 8648640, 10810800, 21621600}}.
-Superabundant EDOs that are also highly composite, excluding the first 19:
+Superabundant EDOs that are also highly composite, excluding the first 19: 10080, 15120, 25200, 27720, 55440, 110880, 166320, 277200, 332640, 554400, 665280, 720720, 1441440, 2162160, 3603600, 4324320, 7207200, 8648640, 10810800,  21621600, 36756720, 61261200, 73513440, 122522400, 147026880, 183783600, 367567200, 698377680, 735134400.
-, 15120, 25200, 27720, 55440, 110880, 166320, 277200, 332640, 554400, 665280, 720720, 1441440, 2162160, 3603600, 4324320, 7207200, 8648640, 10810800,  21621600, 36756720, 61261200, 73513440, 122522400, 147026880, 183783600, 367567200, 698377680, 735134400.
 The sequence is finite and has 430 terms starting with 10080.
+edo is the predominantly used tuning in the world today, and in addition it is the only known so far highly composite EDO that's also a zeta edo. Others have not been found yet, and given the lack of such EDOs until hundreds of thousands it's likely if another one is found, it would be of any harmonic use since it's amount of steps would be astronomical.
 == Extension ==