User:CompactStar/Ordinal interval notation: Difference between revisions
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CompactStar (talk | contribs) Quartertone-based names will be adopted, so neutral intervals are correctly expressed. |
CompactStar (talk | contribs) No edit summary |
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|augmented fourth | |augmented fourth | ||
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|[[ | |[[29/16]] | ||
|an7 | |an7 | ||
|artoneutral seventh | |artoneutral seventh | ||
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|infraoctave | |infraoctave | ||
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| | |[[37/32]] | ||
|UM2 | |||
|ultramajor second | |||
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|[[41/32]] | |||
|M3 | |||
|major third | |||
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|[[47/32]] | |||
|i5 | |||
|infrafifth | |||
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|[[ | |||
|} | |} | ||
Revision as of 09:11, 30 December 2023
WIP (the reason this is in userspace)
Ordinal interval notation is a notation for just intonation in which all intervals are represented by a normal interval classification combined with an ordinal number.
To get the classification for an interval, multiply the interval classes of the prime harmonics which it factors into, which are predefined as follows:
| Prime harmonic | Interval classification | |
|---|---|---|
| 2/1 | P8 | perfect octave |
| 3/2 | P5 | perfect fifth |
| 5/4 | M3 | major third |
| 7/4 | m7 | minor seventh |
| 11/8 | U4 | ultrafourth |
| 13/8 | an6 | artoneutral sixth |
| 17/16 | m2 | minor second |
| 19/16 | m3 | minor third |
| 23/16 | A4 | augmented fourth |
| 29/16 | an7 | artoneutral seventh |
| 31/16 | i8 | infraoctave |
| 37/32 | UM2 | ultramajor second |
| 41/32 | M3 | major third |
| 47/32 | i5 | infrafifth |
| [[ | ||