3600edo: Difference between revisions

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The '''3600odo''' divides the octave into 3600 equal parts of 0.33333 (exactly 1/3) of a [[cent]] each. A cent is therefore three steps; also, the Dröbisch Angle which is 1/360 octave is ten steps. It also has the advantage of expressing the steps of [[72edo]] in whole numbers. Aside from its relationship to cents, it is of interest as a system supporting [[ennealimmal temperament]], tempering out the ennealimma, {{~~Monzo~~| 1 -27 18 }}, in the [[5-limit]] and (with the [[patent val]]) 2401/2400 and 4375/4374 in the [[7-limit]]. An alternative 7-limit mapping is 3600d, with the 7 slightly sharp rather than slightly flat; this no longer supports ennealimmal, but it does temper out 52734375/52706752; together with the ennealimma that leads to a sort of strange sibling to ennealimmal temperament, more accurate but also more complex. Via the [[val]] {{val| 3600 5706 8359 10106 12453 13318 }}, 3600edo also supports [[hemiennealimmal temperament]].

The '''3600odo''' divides the octave into 3600 equal parts of 0.33333 (exactly 1/3) of a [[cent]] each. A cent is therefore three steps; also, the Dröbisch Angle which is 1/360 octave is ten steps. It also has the advantage of expressing the steps of [[72edo]] in whole numbers. Aside from its relationship to cents, it is of interest as a system supporting [[ennealimmal temperament]], tempering out the ennealimma, {{monzo| 1 -27 18 }}, in the [[5-limit]] and (with the [[patent val]]) 2401/2400 and 4375/4374 in the [[7-limit]]. An alternative 7-limit mapping is 3600d, with the 7 slightly sharp rather than slightly flat; this no longer supports ennealimmal, but it does temper out 52734375/52706752; together with the ennealimma that leads to a sort of strange sibling to ennealimmal temperament, more accurate but also more complex. Via the [[val]] {{val| 3600 5706 8359 10106 12453 13318 }}, 3600edo also supports [[hemiennealimmal temperament]].

== Divisors ==

Revision as of 23:13, 4 December 2020 view source Keenan Pepper category edits (talk \| contribs) Bots 555 edits m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot ← Older edit		Revision as of 12:11, 17 January 2021 view source Xenwolf (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 8,705 edits m lc monzo Newer edit →
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	The '''3600odo''' divides the octave into 3600 equal parts of 0.33333 (exactly 1/3) of a [[cent]] each. A cent is therefore three steps; also, the Dröbisch Angle which is 1/360 octave is ten steps. It also has the advantage of expressing the steps of [[72edo]] in whole numbers. Aside from its relationship to cents, it is of interest as a system supporting [[ennealimmal temperament]], tempering out the ennealimma, {{~~Monzo~~\| 1 -27 18 }}, in the [[5-limit]] and (with the [[patent val]]) 2401/2400 and 4375/4374 in the [[7-limit]]. An alternative 7-limit mapping is 3600d, with the 7 slightly sharp rather than slightly flat; this no longer supports ennealimmal, but it does temper out 52734375/52706752; together with the ennealimma that leads to a sort of strange sibling to ennealimmal temperament, more accurate but also more complex. Via the [[val]] {{val\| 3600 5706 8359 10106 12453 13318 }}, 3600edo also supports [[hemiennealimmal temperament]].		The '''3600odo''' divides the octave into 3600 equal parts of 0.33333 (exactly 1/3) of a [[cent]] each. A cent is therefore three steps; also, the Dröbisch Angle which is 1/360 octave is ten steps. It also has the advantage of expressing the steps of [[72edo]] in whole numbers. Aside from its relationship to cents, it is of interest as a system supporting [[ennealimmal temperament]], tempering out the ennealimma, {{monzo\| 1 -27 18 }}, in the [[5-limit]] and (with the [[patent val]]) 2401/2400 and 4375/4374 in the [[7-limit]]. An alternative 7-limit mapping is 3600d, with the 7 slightly sharp rather than slightly flat; this no longer supports ennealimmal, but it does temper out 52734375/52706752; together with the ennealimma that leads to a sort of strange sibling to ennealimmal temperament, more accurate but also more complex. Via the [[val]] {{val\| 3600 5706 8359 10106 12453 13318 }}, 3600edo also supports [[hemiennealimmal temperament]].

	== Divisors ==		== Divisors ==