402653184edo: Difference between revisions

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Created page with "402,653,184-EDO is an equal-step tuning system that allows for finer subdivisions within the standard 128-note MIDI scale based on 12-EDO, using 32-bit data. Since 128 notes..."
 
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402,653,184-EDO is an equal-step tuning system that allows for finer subdivisions within the standard 128-note MIDI scale based on 12-EDO, using 32-bit data.
402,653,184-EDO is an [[Equal-step tuning|equal-step]] tuning system that allows for finer subdivisions within the standard 128-note [[MIDI]] scale based on [[12edo|12-EDO]], using 32-bit data.


Since 128 notes equal 2^7, this leaves 25 additional bits for further subdivision of the 12-tone equal temperament. By calculating 12 * 2^25, we arrive at a system with 402,653,184 equally spaced divisions of the octave.
Since 128 notes equal 2^7, this leaves 25 additional bits for further subdivision of the 12-tone equal temperament. By calculating 12 * 2^25, we arrive at a system with 402,653,184 equally spaced divisions of the octave.


It could be applied through the 7.25 pitch attribute introduced in MIDI 2.0.
It could be applied through the [https://amei.or.jp/midistandardcommittee/MIDI2.0/MIDI2.0-DOCS/M2-104-UM_v1-0_UMP_and_MIDI_2-0_Protocol_Specification.pdf#page=34 7.25 pitch attribute] introduced in MIDI 2.0.