EDO: Difference between revisions
From Xenharmonic Reference
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|+ Very incomplete edo table. Popular edos are highlighted. | |+ Very incomplete edo table. Popular edos are highlighted. | ||
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! Edo !! Description !! First twelve steps, from 0¢ | ! Edo !! Description !! First twelve steps, from 0¢ !! Possible [[erac]] subgroup | ||
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| style="background-color:#cb9" | 5 || The smallest edo to have strong melodic properties. Good approximation of 2.3.7 for its size. || 240, 480, 720, 960, 1200 | | style="background-color:#cb9" | 5 || The smallest edo to have strong melodic properties. Good approximation of 2.3.7 for its size. || 240, 480, 720, 960, 1200 | ||
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| 6 || Subset of 12edo. Good approximation of 2.9.5.7 for its size, such as in Didacus temperament. || 200, 400, 600, 800, 1000, 1200 | | 6 || Subset of 12edo. Good approximation of 2.9.5.7 for its size, such as in Didacus temperament. || 200, 400, 600, 800, 1000, 1200 | ||
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| ... || ... || ... | | ... || ... || ... || ... | ||
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| style="background-color:#cb9" | 31 || The definitive Septimal Meantone tuning. ||38.7, 77.4, 116.1, 154.8, 193.5, 232.3, 271.0, 309.7, 348.4, 387.1, 425.8, 464.5|| | | style="background-color:#cb9" | 31 || The definitive Septimal Meantone tuning. || 38.7, 77.4, 116.1, 154.8, 193.5, 232.3, 271.0, 309.7, 348.4, 387.1, 425.8, 464.5 || 2.3.5.7 | ||
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Revision as of 00:53, 2 December 2025
An equal division of the octave (EDO or edo, /ido/) is a tuning system constructed by dividing the octave into a number of equal steps.
The dominant modern tuning system may be called 12edo (12-EDO) because it divides the octave into 12 semitones that are all the same size. It may also be called 12-tone equal temperament or 12-TET, but this is discouraged because it does not specify which interval is being equally divided.
List of Edos
| Edo | Description | First twelve steps, from 0¢ | Possible erac subgroup |
|---|---|---|---|
| 5 | The smallest edo to have strong melodic properties. Good approximation of 2.3.7 for its size. | 240, 480, 720, 960, 1200 | |
| 6 | Subset of 12edo. Good approximation of 2.9.5.7 for its size, such as in Didacus temperament. | 200, 400, 600, 800, 1000, 1200 | |
| ... | ... | ... | ... |
| 31 | The definitive Septimal Meantone tuning. | 38.7, 77.4, 116.1, 154.8, 193.5, 232.3, 271.0, 309.7, 348.4, 387.1, 425.8, 464.5 | 2.3.5.7 |
