402653184edo: Difference between revisions

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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.
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'''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.