1ed125c: Difference between revisions
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This [[nonoctave]] tuning uses equal steps of 125 cents each. This could be considered as dividing the approximate [[perfect fourth]] of 500 cents into 4 equal parts. It is equivalent to 9.6[[edo]], and is a subset of [[48edo]] (every fifth step). Therefore, it can be regarded as 48ed32. | This [[nonoctave]] tuning uses equal steps of 125 cents each. This could be considered as dividing the approximate [[perfect fourth]] of 500 cents into 4 equal parts making it stretched 4ed[[4/3]]. It is equivalent to 9.6[[edo]], and is a subset of [[48edo]] (every fifth step). Therefore, it can be regarded as 48ed32. | ||
{{harmonics in cet|125}} | {{harmonics in cet|125}} | ||
== Intervals == | == Intervals == | ||
Revision as of 03:56, 2 May 2023
This nonoctave tuning uses equal steps of 125 cents each. This could be considered as dividing the approximate perfect fourth of 500 cents into 4 equal parts making it stretched 4ed4/3. It is equivalent to 9.6edo, and is a subset of 48edo (every fifth step). Therefore, it can be regarded as 48ed32.
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +50.0 | -27.0 | -25.0 | -36.3 | +23.0 | +6.2 | +25.0 | -53.9 | +13.7 | -26.3 | -52.0 |
| Relative (%) | +40.0 | -21.6 | -20.0 | -29.1 | +18.4 | +4.9 | +20.0 | -43.1 | +10.9 | -21.1 | -41.6 | |
| Step | 10 | 15 | 19 | 22 | 25 | 27 | 29 | 30 | 32 | 33 | 34 | |
Intervals
| ordinal number | cents | interval name |
|---|---|---|
| 0 | 0 | unison |
| 1 | 125 | 2/3-tone, trienthird |
| 2 | 250 | semifourth |
| 3 | 375 | narrow perde segah, marvelous major third, near just major third |
| 4 | 500 | perfect fourth |
| 5 | 625 | pental diminished fifth, classic diminshed fifth |
| 6 | 750 | septendecimal subminor sixth |
| 7 | 875 | major sixth |
| 8 | 1000 | Pythagorean minor seventh |
| 9 | 1125 | classic (5-limit) diminished octave. |
| 10 | 1250 | |
| 11 | 1375 | |
| 12 | 1500 | |
| 13 | 1625 | |
| 14 | 1750 | |
| 15 | 1875 | |
| 16 | 2000 |
Scala file
! E:\cakewalk\scales\125cent.scl ! 125 cent tuning 4 ! 125.00000 250.00000 375.00000 500.00000