6edt: Difference between revisions

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{{Infobox ET}}
'''6edt''' is the abbreviation for '''6 Equal Divisions of the Tritave'''.
'''6edt''' is the abbreviation for '''6 Equal Divisions of the Tritave'''.
Since 6edt contains one intervals of [[2edt]] and two intervals of [[3edt]], it only introduces 2 new notes. These new notes happen to approximate [[6/5]] and [[5/2]] quite well.
Since 6edt contains one intervals of [[2edt]] and two intervals of [[3edt]], it only introduces 2 new notes. These new notes happen to approximate [[6/5]] and [[5/2]] quite well.

Revision as of 19:42, 5 October 2022

← 5edt 6edt 7edt →
Prime factorization 2 × 3
Step size 316.993 ¢ 
Octave 4\6edt (1267.97 ¢) (→ 2\3edt)
Consistency limit 7
Distinct consistency limit 3
Special properties

6edt is the abbreviation for 6 Equal Divisions of the Tritave. Since 6edt contains one intervals of 2edt and two intervals of 3edt, it only introduces 2 new notes. These new notes happen to approximate 6/5 and 5/2 quite well. 6edt is therefore the smallest edt other than 5edt to accurately approximate 5-limit harmony. 6edt allows for construction of chords such as 2:5:6:15:18:26:31:45:54...

Intervals

Degrees Cents hekts ApproximateRatios
0 1/1
1 316.993 216.667 6/5, 65/54
2 633.985 433.333 13/9
3 950.978 650 19/11, 26/15
4 1267.97 866.667 27/13
5 1584.963 1093.333 5/2 (5/4 plus an octave)
6 1901.955 1300 3/1

6n-edt Family