402653184edo - Revision history

Tristanbay: Replace Mbox template with dedicated one

2025-09-08T17:57:52Z

Replace Mbox template with dedicated one

← Older revision		Revision as of 17:57, 8 September 2025
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	{{~~Mbox~~		{{Software tuning}}
	~~\| type = notice~~
	~~\| text = '''This page presents a primarily software-related~~ tuning~~.'''~~

	~~This tuning is more notable for use in [[software]] rather than for its musical properties.~~
	~~\| icon = Information icon.svg~~
	~~\| icon size = 40px~~
	}}

	'''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.

BudjarnLambeth at 22:36, 10 August 2025

2025-08-10T22:36:39Z

← Older revision		Revision as of 22:36, 10 August 2025
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	{{~~Niche~~}}		{{Mbox
			\| type = notice
			\| text = '''This page presents a primarily software-related tuning.'''

			This tuning is more notable for use in [[software]] rather than for its musical properties.
			\| icon = Information icon.svg
			\| icon size = 40px
			}}

	'''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.

FloraC: Style

2025-07-31T14:27:50Z

Style

← Older revision		Revision as of 14:27, 31 July 2025
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	{{~~niche~~}}		{{Niche}}

	'''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.		'''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.

	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<sup>7</sup>, this leaves 25 additional bits for further subdivision of the 12-tone equal temperament. By calculating 12 × 2<sup>25</sup>, we arrive at a system with 402,653,184 equally spaced divisions of the octave.

	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.		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.

	The step size is about 2.98 × 10^-6 cents, meaning that intervals rounded to this system have a precision of 1.49 × 10^-6 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.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]

BudjarnLambeth: Niche

2025-03-18T03:32:46Z

Niche

← Older revision		Revision as of 03:32, 18 March 2025
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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.		{{niche}}

			'''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.

BudjarnLambeth at 09:13, 24 September 2024

2024-09-24T09:13:29Z

← Older revision		Revision as of 09:13, 24 September 2024
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	The step size is about 2.98 × 10^-6 cents, meaning that intervals rounded to this system have a precision of 1.49 × 10^-6 cents. At 20000 Hz, the phase precision is approximately 16 hours.		The step size is about 2.98 × 10^-6 cents, meaning that intervals rounded to this system have a precision of 1.49 × 10^-6 cents. At 20000 Hz, the phase precision is approximately 16 hours.

	[[Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]

BudjarnLambeth: Categorised uncategorised page

2024-09-22T05:11:32Z

Categorised uncategorised page

← Older revision		Revision as of 05:11, 22 September 2024
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	The step size is about 2.98 × 10^-6 cents, meaning that intervals rounded to this system have a precision of 1.49 × 10^-6 cents. At 20000 Hz, the phase precision is approximately 16 hours.		The step size is about 2.98 × 10^-6 cents, meaning that intervals rounded to this system have a precision of 1.49 × 10^-6 cents. At 20000 Hz, the phase precision is approximately 16 hours.

			[[Equal divisions of the octave]]

Contribution at 22:37, 21 September 2024

2024-09-21T22:37:31Z

← Older revision		Revision as of 22:37, 21 September 2024
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	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.		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.

			The step size is about 2.98 × 10^-6 cents, meaning that intervals rounded to this system have a precision of 1.49 × 10^-6 cents. At 20000 Hz, the phase precision is approximately 16 hours.

Contribution at 22:21, 21 September 2024

2024-09-21T22:21:15Z

← Older revision		Revision as of 22:21, 21 September 2024
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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.

Contribution: 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..."

2024-09-21T22:18:08Z

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..."

New page

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 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.