Semitone (interval region) - Revision history

VectorGraphics: fixed infobox

2025-03-14T10:08:51Z

fixed infobox

← Older revision		Revision as of 10:08, 14 March 2025
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	{{Infobox interval region\|Name=Semitone, minor second, augmented unison\|Cents lower=60\|Cents lower wide=75\|Cents upper=125\|Cents upper wide=140\|JI intervals=16/15, 25/24\|MOSes=1L 8s, 9L 1s, 1L 9s\|Complement=[[Major seventh]]\|Lower region=[[Comma and diesis]]\|Higher region=[[Neutral second]]}}{{Wikipedia\|Semitone}}		{{Infobox interval region\|Name=Semitone, minor second, augmented unison\|Cents lower=75\|Cents lower wide=60\|Cents upper=125\|Cents upper wide=140\|JI intervals=16/15, 25/24\|MOSes=1L 8s, 9L 1s, 1L 9s\|Complement=[[Major seventh]]\|Lower region=[[Comma and diesis]]\|Higher region=[[Neutral second]]}}{{Wikipedia\|Semitone}}
	A '''semitone''', as a concrete [[interval region]], is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.		A '''semitone''', as a concrete [[interval region]], is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.

VectorGraphics: the page is LITERALLY called "Semitone (interval region)"

2025-03-14T10:08:28Z

the page is LITERALLY called "Semitone (interval region)"

← Older revision		Revision as of 10:08, 14 March 2025
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	{{Wikipedia\|Semitone}}		{{Infobox interval region\|Name=Semitone, minor second, augmented unison\|Cents lower=60\|Cents lower wide=75\|Cents upper=125\|Cents upper wide=140\|JI intervals=16/15, 25/24\|MOSes=1L 8s, 9L 1s, 1L 9s\|Complement=[[Major seventh]]\|Lower region=[[Comma and diesis]]\|Higher region=[[Neutral second]]}}{{Wikipedia\|Semitone}}
	A '''semitone''' is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale~~. In [[just intonation]]~~, an interval ~~may be classified~~ as a semitone ~~if it is reasonably mapped to [[24edo\|2\24]]. The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals~~ in ~~the~~ [[~~11-limit\|11-]] and [[13-limit~~]]~~. Semitones come in two functional categories based on their number of steps in the [[5L 2s\|diatonic]] scale:~~		A '''semitone''', as a concrete [[interval region]], is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.
	* [[Diatonic semitone]]s, minor seconds (m2), or limmas,
	* [[Chromatic semitone]]s, augmented unisons (A1), or chromas.		Functionally, a semitone is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale, which is a possible criterion for the classification of an interval as a semitone in [[just intonation]].

	~~As a concrete~~ [[~~interval region~~]]~~, it is typically near 100{{cent}} in size, distinct from~~ [[~~commas and dieses~~]] (~~less than 60{{c}}~~), ~~and from~~ [[~~neutral second~~]]s (~~about 150{{c}}~~)~~. A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions~~.		Semitones come in two functional categories based on their number of steps in the [[5L 2s\|diatonic]] scale:
			*[[Diatonic semitone]]s, minor seconds (m2), or limmas,
			*[[Chromatic semitone]]s, augmented unisons (A1), or chromas.

	The intervals covered in this article range from 50{{c}} to 140{{c}}.		The intervals covered in this article range from 50{{c}} to 140{{c}}.
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	\|}		\|}

	== In ~~edos~~ ==		== In EDOs ==
	The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo]]s.		The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo\|EDO]]s.
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	! ~~Edo~~		! EDO
	! 16/15		! 16/15
	! 25/24		! 25/24

FloraC: The concept started as an interval in the chromatic scale, and is still used this way. The interval region is a later association. You can't just make it the main definition

2025-03-14T09:57:24Z

The concept started as an interval in the chromatic scale, and is still used this way. The interval region is a later association. You can't just make it the main definition

← Older revision		Revision as of 09:57, 14 March 2025
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	{{Wikipedia\|Semitone}}		{{Wikipedia\|Semitone}}
	A '''semitone''', as a concrete [[interval region]], is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.		A '''semitone''' is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale. In [[just intonation]], an interval may be classified as a semitone if it is reasonably mapped to [[24edo\|2\24]]. The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]]. Semitones come in two functional categories based on their number of steps in the [[5L 2s\|diatonic]] scale:
			* [[Diatonic semitone]]s, minor seconds (m2), or limmas,
	~~Functionally, a semitone~~ is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale, ~~which is a possible criterion for the classification of~~ an interval as a semitone in [[~~just intonation~~]].		* [[Chromatic semitone]]s, augmented unisons (A1), or chromas.

	~~Semitones come in two functional categories based on their number of steps in the~~ [[~~5L 2s\|diatonic~~]] ~~scale:~~		As a concrete [[interval region]], it is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.
	*[[~~Diatonic semitone~~]]~~s, minor seconds~~ (m2), ~~or limmas,~~
	*[[~~Chromatic semitone~~]]s~~, augmented unisons~~ (A1)~~, or chromas~~.

	The intervals covered in this article range from 50{{c}} to 140{{c}}.		The intervals covered in this article range from 50{{c}} to 140{{c}}.
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	\|}		\|}

	== In ~~EDOs~~ ==		== In edos ==
	The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo~~\|EDO~~]]s.		The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo]]s.
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	! ~~EDO~~		! Edo
	! 16/15		! 16/15
	! 25/24		! 25/24

VectorGraphics at 06:55, 14 March 2025

2025-03-14T06:55:56Z

← Older revision		Revision as of 06:55, 14 March 2025
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	{{Wikipedia\|Semitone}}		{{Wikipedia\|Semitone}}
	A '''semitone''' is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale~~. In [[just intonation]]~~, an interval ~~may be classified~~ as a semitone ~~if it is reasonably mapped to [[24edo\|2\24]]. The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals~~ in ~~the~~ [[~~11-limit\|11-]] and [[13-limit~~]]~~. Semitones come in two functional categories based on their number of steps in the [[5L 2s\|diatonic]] scale:~~		A '''semitone''', as a concrete [[interval region]], is typically near 100{{cent}} in size, distinct from [[commas and dieses]] (less than 60{{c}}), and from [[neutral second]]s (about 150{{c}}). A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions.
	* [[Diatonic semitone]]s, minor seconds (m2), or limmas,
	* [[Chromatic semitone]]s, augmented unisons (A1), or chromas.		Functionally, a semitone is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale, which is a possible criterion for the classification of an interval as a semitone in [[just intonation]].

	~~As a concrete~~ [[~~interval region~~]]~~, it is typically near 100{{cent}} in size, distinct from~~ [[~~commas and dieses~~]] (~~less than 60{{c}}~~), ~~and from~~ [[~~neutral second~~]]s (~~about 150{{c}}~~)~~. A rough tuning range for the semitone is about 60{{c}} to 125{{c}} according to [[Margo Schulter]]'s theory of interval regions~~.		Semitones come in two functional categories based on their number of steps in the [[5L 2s\|diatonic]] scale:
			*[[Diatonic semitone]]s, minor seconds (m2), or limmas,
			*[[Chromatic semitone]]s, augmented unisons (A1), or chromas.

	The intervals covered in this article range from 50{{c}} to 140{{c}}.		The intervals covered in this article range from 50{{c}} to 140{{c}}.

VectorGraphics: Capitalization of EDO

2025-03-05T20:40:48Z

Capitalization of EDO

← Older revision		Revision as of 20:40, 5 March 2025
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	\|}		\|}

	== In ~~edos~~ ==		== In EDOs ==
	The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo]]s.		The following table lists the best tuning of 16/15, 25/24, and other semitones if present, in various significant [[edo\|EDO]]s.
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	! ~~Edo~~		! EDO
	! 16/15		! 16/15
	! 25/24		! 25/24

ArrowHead294 at 15:04, 3 March 2025

2025-03-03T15:04:50Z

← Older revision		Revision as of 15:04, 3 March 2025
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	When 16/15 is tempered out, it leads to [[father]] temperament.		When 16/15 is tempered out, it leads to [[father]] temperament.


	== In moment-of-symmetry scales ==		== In moment-of-symmetry scales ==
	Intervals between 100 and 133 ~~cents~~ generate the following [[MOS]] scales:		Intervals between 100 and 133{{c}} generate the following [[MOS]] scales:

	These tables start from the last monolarge [[MOS]] generated by the interval range.		These tables start from the last monolarge [[MOS]] generated by the interval range.

	MOSes with more than 12 notes are not included.		MOSes with more than 12 notes are not included.

	{\| class="wikitable"		{\| class="wikitable"
	~~!Range~~
	~~! colspan="2" \|MOS~~
	\|-		\|-
	\|~~100~~-~~109c~~		! Range
	\|1L 10s		! colspan="2" \| MOS
	\|11L 1s		\|-
			\| 100–109{{c}}
			\| [[1L 10s]]
			\| [[11L 1s]]
	\|-		\|-
	\|~~109-120c~~		\| 109–120{{c}}
	\|1L 9s		\| [[1L 9s]]
	\|10L 1s		\| [[10L 1s]]
	\|-		\|-
	\|~~120-133c~~		\| 120–133{{c}}
	\|1L 8s		\| [[1L 8s]]
	\|9L 1s		\| [[9L 1s]]
	\|}		\|}

VectorGraphics at 06:10, 2 March 2025

2025-03-02T06:10:53Z

← Older revision		Revision as of 06:10, 2 March 2025
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	When 16/15 is tempered out, it leads to [[father]] temperament.		When 16/15 is tempered out, it leads to [[father]] temperament.


			== In moment-of-symmetry scales ==
			Intervals between 100 and 133 cents generate the following [[MOS]] scales:

			These tables start from the last monolarge [[MOS]] generated by the interval range.

			MOSes with more than 12 notes are not included.
			{\| class="wikitable"
			!Range
			! colspan="2" \|MOS
			\|-
			\|100-109c
			\|1L 10s
			\|11L 1s
			\|-
			\|109-120c
			\|1L 9s
			\|10L 1s
			\|-
			\|120-133c
			\|1L 8s
			\|9L 1s
			\|}

	== See also ==		== See also ==

VectorGraphics at 05:07, 2 March 2025

2025-03-02T05:07:52Z

← Older revision		Revision as of 05:07, 2 March 2025
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	=== By delta ===		=== By delta ===
	This table lists just semitones by [[Delta-N\|delta]]:		This table lists just semitones by [[Delta-N\|delta]]; simple semitone ratios tend to be [[Superparticular ratio\|superparticular]].
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-

ArrowHead294 at 11:46, 27 February 2025

2025-02-27T11:46:03Z

← Older revision		Revision as of 11:46, 27 February 2025
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	\| 117{{c}}		\| 117{{c}}
	\| 59{{c}}		\| 59{{c}}
	\| 88{{c}} ≈ 256/243		\| {{nowrap\|88{{c}} ≈ 256/243}}
	\|-		\|-
	\| 53		\| 53
	\| 113{{c}}		\| 113{{c}}
	\| 68{{c}}		\| 68{{c}}
	\| 91{{c}} ≈ 256/243		\| {{nowrap\|91{{c}} ≈ 256/243}}
	\|}		\|}

Fredg999: Add Wikipedia box

2025-02-27T04:48:57Z

Add Wikipedia box

← Older revision		Revision as of 04:48, 27 February 2025
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			{{Wikipedia\|Semitone}}
	A '''semitone''' is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale. In [[just intonation]], an interval may be classified as a semitone if it is reasonably mapped to [[24edo\|2\24]]. The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]]. Semitones come in two functional categories based on their number of steps in the [[5L 2s\|diatonic]] scale:		A '''semitone''' is an interval that makes up part of a [[tone]], often as one step of a 12-tone chromatic scale. In [[just intonation]], an interval may be classified as a semitone if it is reasonably mapped to [[24edo\|2\24]]. The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit\|11-]] and [[13-limit]]. Semitones come in two functional categories based on their number of steps in the [[5L 2s\|diatonic]] scale:
	* [[Diatonic semitone]]s, minor seconds (m2), or limmas,		* [[Diatonic semitone]]s, minor seconds (m2), or limmas,