402653184edo: Difference between revisions
Tristanbay (talk | contribs) Replace Mbox template with dedicated one |
Royalmilktea (talk | contribs) added infobox, ed intro, prime harmonics, and factorization |
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{{Software tuning}} | {{Software tuning}} | ||
{{Infobox ET}} | |||
{{ED intro}} | |||
== Theory == | |||
'''402,653,184edo''' is an [[equal-step tuning|equal-step]] [[tuning system]] that allows for finer subdivisions within the standard 128-note [[MIDI]] scale based on [[12edo]], using 32-bit data. | '''402,653,184edo''' is an [[equal-step tuning|equal-step]] [[tuning system]] that allows for finer subdivisions within the standard 128-note [[MIDI]] scale based on [[12edo]], using 32-bit data. | ||
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The step size is about 2.98 × 10<sup>-6</sup> cents, meaning that intervals rounded to this system have a precision of 1.49 × 10<sup>-6</sup> cents. At 20000 Hz, the phase precision is approximately 16 hours. | The step size is about 2.98 × 10<sup>-6</sup> cents, meaning that intervals rounded to this system have a precision of 1.49 × 10<sup>-6</sup> cents. At 20000 Hz, the phase precision is approximately 16 hours. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|402653184|columns=11|intervals=prime}} | |||
{{Harmonics in equal|402653184|columns=11|start=12|collapsed=true|title=Approximation of prime harmonics in 402653184edo (continued)|intervals=prime}} | |||
=== Subsets and supersets === | |||
402653184 factorizes into {{factorization|402653184}}. | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||