List of locking intervals

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Revision as of 01:21, 28 February 2026 by Vector (talk | contribs) (Created page with "The following is a list of just intervals that are considered to "lock", according to the performer MidnightBlue. It serves as a useful reference for the actual extent of JI's effect on interval perception. 72edo is the smallest edo to make all the necessary categorical distinctions, and 94edo approximates all of these to within a kleisma. ''Italic'' intervals are those that only lock in a higher octave. {| class="wikitable" |+ !Interval !Cents !Notes |- |1/1 |0.00 | |-...")
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The following is a list of just intervals that are considered to "lock", according to the performer MidnightBlue. It serves as a useful reference for the actual extent of JI's effect on interval perception. 72edo is the smallest edo to make all the necessary categorical distinctions, and 94edo approximates all of these to within a kleisma.

Italic intervals are those that only lock in a higher octave.

Interval Cents Notes
1/1 0.00
17/16 104.96
15/14 119.44
13/12 138.57
12/11 150.64
11/10 165.00
10/9 182.40
9/8 203.91
8/7 231.17
7/6 266.87
6/5 315.64
11/9 347.41
5/4 386.31
14/11 417.51 Its fifth complement is conspicuously missing from the list.
9/7 435.08
13/10 454.21 Its fifth complement is conspicuously missing from the list.
4/3 498.04
11/8 551.32
7/5 582.51
17/12 603.00
10/7 617.49
13/9 636.62
3/2 701.96
14/9 764.92
11/7 782.49
8/5 813.69
13/8 840.53
5/3 884.36
12/7 933.13
7/4 968.83
16/9 996.09
9/5 1,017.60
11/6 1,049.36
13/7 1,071.70
15/8 1,088.27
17/9 1,101.05
2/1 1,200.00