23edo and octave stretching: Difference between revisions
→Table of intervals: sed -E "s#([0-9]+):([0-9]+)#\\[\\[\\1/\\2\\]\\]#g" 23EDOintervals.txt > 23EDOintervals.new.txt |
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! Interval !! Width in steps !! Width in cents !! Approximations | ! Interval !! Width in steps !! Width in cents !! Approximations | ||
|- | |- | ||
| Quarter-tone || 1 || 52.45 || 33 | | Quarter-tone || 1 || 52.45 || [[33/32]] | ||
|- | |- | ||
| Semitone || 2 || 105.89 || 16 | | Semitone || 2 || 105.89 || [[16/15]], [[15/14]] | ||
|- | |- | ||
| 3/4-tone || 3 || 157.34 || 12 | | 3/4-tone || 3 || 157.34 || [[12/11]], [[11/10]], [[10/9]] | ||
|- | |- | ||
| Whole tone || 4 || 209.79 || 9 | | Whole tone || 4 || 209.79 || [[9/8]] | ||
|- | |- | ||
| Septimal subminor third || 5 || 262.23 || 7 | | Septimal subminor third || 5 || 262.23 || [[7/6]] | ||
|- | |- | ||
| Minor third || 6 || 314.68 || 6 | | Minor third || 6 || 314.68 || [[6/5]] | ||
|- | |- | ||
| Major third || 7 || 367.13 || 5 | | Major third || 7 || 367.13 || [[5/4]] | ||
|- | |- | ||
| Septimal supermajor third || 8 || 418.58 || 14 | | Septimal supermajor third || 8 || 418.58 || [[14/11]], [[9/7]] | ||
|- | |- | ||
| Minor fourth || 9 || 472.92 || 13 | | Minor fourth || 9 || 472.92 || [[13/10]] | ||
|- | |- | ||
| Major fourth || 10 || 524.47 || 15 | | Major fourth || 10 || 524.47 || [[15/11]] | ||
|- | |- | ||
| Septimal tritone || 11 || 576.92 || 7 | | Septimal tritone || 11 || 576.92 || [[7/5]] | ||
|- | |- | ||
| Tridecimal tritone || 12 || 629.36 || 10 | | Tridecimal tritone || 12 || 629.36 || [[10/7]], [[13/9]] | ||
|- | |- | ||
| Natural fifth || 13 || 681.81 || 3 | | Natural fifth || 13 || 681.81 || [[3/2]] | ||
|- | |- | ||
| Augmented fifth || 14 || 734.26 || 20 | | Augmented fifth || 14 || 734.26 || [[20/13]] | ||
|- | |- | ||
| Undecimal minor sixth || 15 || 786.70 || 11 | | Undecimal minor sixth || 15 || 786.70 || [[11/7]] | ||
|- | |- | ||
| Tridecimal neutral sixth || 16 || 839.15 || 13 | | Tridecimal neutral sixth || 16 || 839.15 || [[13/8]] | ||
|- | |- | ||
| Major sixth || 17 || 891.60 || 5 | | Major sixth || 17 || 891.60 || [[5/3]] | ||
|- | |- | ||
| Septimal subminor seventh;<br />septimal supermajor sixth || 18 || 944.04 || 12 | | Septimal subminor seventh;<br />septimal supermajor sixth || 18 || 944.04 || [[12/7]] | ||
|- | |- | ||
| Minor seventh || 19 || 996.49 || 7 | | Minor seventh || 19 || 996.49 || [[7/4]], [[9/5]] | ||
|- | |- | ||
| Neutral seventh || 20 || 1048.94 || 11 | | Neutral seventh || 20 || 1048.94 || [[11/6]] | ||
|- | |- | ||
| Major seventh || 21 || 1101.38 || 15 | | Major seventh || 21 || 1101.38 || [[15/8]] | ||
|- | |- | ||
| Diminished octave || 22 || 1153.83 || | | Diminished octave || 22 || 1153.83 || | ||
|- | |- | ||
| Natural (stretched) octave || 23 || 1206.28 || 2 | | Natural (stretched) octave || 23 || 1206.28 || [[2/1]] | ||
|} | |} | ||