List of locking intervals: Difference between revisions
From Xenharmonic Reference
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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[[File:List of locking intervals.png|thumb|521x521px|The set of locking intervals (94edo tuning)]] | |||
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. | 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. | ||
| Line 8: | Line 9: | ||
!Notes | !Notes | ||
|- | |- | ||
|1/1 | |[[Unison|1/1]] | ||
|0.00 | |0.00 | ||
| | | | ||
| Line 44: | Line 45: | ||
| | | | ||
|- | |- | ||
|7/6 | |[[Third#7-limit|7/6]] | ||
|266.87 | |266.87 | ||
| | | | ||
|- | |- | ||
|6/5 | |[[Third#5-limit|6/5]] | ||
|315.64 | |315.64 | ||
| | | | ||
|- | |- | ||
|11/9 | |[[Third#Neutral thirds 2|11/9]] | ||
|347.41 | |347.41 | ||
| | | | ||
|- | |- | ||
|5/4 | |[[Third#5-limit|5/4]] | ||
|386.31 | |386.31 | ||
| | | | ||
|- | |- | ||
|14/11 | |[[Third#Major and minor thirds|14/11]] | ||
|417.51 | |417.51 | ||
|Its fifth complement is conspicuously missing from the list. | |Its fifth complement is conspicuously missing from the list. | ||
|- | |- | ||
|9/7 | |[[Third#7-limit|9/7]] | ||
|435.08 | |435.08 | ||
| | | | ||
|- | |- | ||
|''13/10'' | |''[[Third#Arto and tendo thirds|13/10]]'' | ||
|454.21 | |454.21 | ||
|Its fifth complement is conspicuously missing from the list. | |Its fifth complement is conspicuously missing from the list. | ||
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|- | |- | ||
|3/2 | |[[Perfect fifth|3/2]] | ||
|701.96 | |701.96 | ||
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|- | |- | ||
|2/1 | |[[2/1]] | ||
|1,200.00 | |1,200.00 | ||
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|} | |} | ||
Latest revision as of 01:45, 28 February 2026
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 |
