Diesis - Revision history

FloraC: /* As a diatonic interval category */ maybe not using enharmonic to define this as that's kinda circular

2026-06-10T06:55:24Z

As a diatonic interval category: maybe not using enharmonic to define this as that's kinda circular

← Older revision		Revision as of 06:55, 10 June 2026
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	== As a diatonic interval category ==		== As a diatonic interval category ==
	In the [[5L 2s\|diatonic]] scale, the diesis, more specifically '''enharmonic diesis''', is ~~the distance between two [[enharmonic]] notes in~~ a ~~scale. In terms of diatonic degrees, it is the~~ diminished second or inverse diminished second, whichever is positive in size. An example of a diesis is the interval between C♯ and D♭. The diesis spans twelve [[perfect fifth]]s, and is observed in any tuning whose perfect fifth is not the same as [[12edo]]'s. Notes related by the diesis are said to be ''enharmonic'' to each other.		In the [[5L 2s\|diatonic]] scale, the diesis, more specifically '''enharmonic diesis''', is a diminished second or inverse diminished second, whichever is positive in size. An example of a diesis is the interval between C♯ and D♭. The diesis spans twelve [[perfect fifth]]s, and is observed in any tuning whose perfect fifth is not the same as [[12edo]]'s. Notes related by the diesis are said to be ''enharmonic'' to each other.

	=== Just intervals ===		=== Just intervals ===
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	=== Generalization ===		=== Generalization ===
	The diesis can be generalized to any [[mos scale]] as the '''mosdiesis''', defined as {{nowrap\| {{!}}L - 2s{{!}} }}, i.e. the difference between a large step and two small steps. In terms of [[stepspan]], it is usually the diminished mosstep or inverse diminished mosstep, whichever is positive. However, in ''n''L 1s scales, it is the double-diminished mosstep or inverse thereof since the small step itself is diminished. Except for ''n''L 1s scales, it is the diminished mosstep in [[soft]] {{nowrap\|(L:s < 2:1)}} scales and the inverse diminished mosstep in [[hard]] {{nowrap\|(L:s > 2:1)}} scales. It vanishes in basic {{nowrap\|(L:s {{=}} 2:1)}} scales.		The diesis can be generalized to any [[mos scale]] as the '''mosdiesis''', defined as {{nowrap\| {{!}}L - 2s{{!}} }}, i.e. the difference between a large step and two small steps. In terms of [[stepspan]], it is usually the diminished mosstep or inverse diminished mosstep, whichever is positive. However, in ''n''L 1s scales, it is the double-diminished mosstep or inverse thereof since the small step itself is diminished. Except for ''n''L 1s scales, it is the diminished mosstep in [[soft]] {{nowrap\|(L:s < 2:1)}} scales and the inverse diminished mosstep in [[hard]] {{nowrap\|(L:s > 2:1)}} scales. It vanishes in basic {{nowrap\|(L:s {{=}} 2:1)}} scales.

	== Normal diesis ==		== Normal diesis ==

FloraC: Merge, as is requested in the communities

2026-06-10T06:44:29Z

Merge, as is requested in the communities

@@ Line 1: / Line 1: @@
 {{Wikipedia}}
-The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:
+The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') is a small interval that has several related definitions. Most commonly, it refers to [[128/125]], the ''augmented comma'' a.k.a. ''lesser diesis'', though rarely and if the context is clear, it can refer to [[648/625]], the ''diminished comma'' a.k.a. ''greater diesis''.
-In addition, there are a number of archaic usages in [[Ancient Greek music]]:
+== History ==
-* [[256/243]], known as the limma today;
+The earliest usage of the term ''diesis'' was due to {{w|Philolaus}} in [[ancient Greek music]] to refer to an interval that is known as the [[256/243|limma]] today. Another usage, also in ancient Greek theory and notably used by {{w|Aristoxenus}}, would refer to a number of [[quartertone]]-sized intervals. In more recent times, {{w|Marchetto da Padova}} used it for fifth-tones, and finally, the modern diesis centered around [[31edo|1\31]] is due to [[Adriaan Fokker]].
-* A variety of quartertones.
 == Normal diesis ==
-The '''normal diesis''' (≈&nbsp;38.7¢) is an [[interval size measure]] defined as one step of [[31edo]].
+The '''normal diesis''' (~38.7{{c}}) is an [[interval size measure]] defined as one step of [[31edo]].
 == See also ==
 * [http://tonalsoft.com/enc/d/diesis.aspx Tonalsoft Encyclopedia | ''Diesis'']
 [[Category:Terms]]

FloraC: Update

2025-03-14T11:29:36Z

Update

← Older revision		Revision as of 11:29, 14 March 2025
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	* [[128/125]], the ''augmented comma'' or ''lesser diesis'';		* [[128/125]], the ''augmented comma'' or ''lesser diesis'';
	** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';		** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';
	* by extension, a melodic unit of about the size of 128/125 (≈ 41¢). See ''[[Diesis (~~melodic unit~~)]]'';		* By extension, a melodic unit of about the size of 128/125 (≈ 41¢). See [[Diesis (interval region)]];
	* by extension, the difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]''.		* By extension, the difference between two enharmonic notes in a scale. See [[Diesis (scale theory)]].

	In addition, there are a number of archaic usages in [[Ancient Greek music]]:		In addition, there are a number of archaic usages in [[Ancient Greek music]]:
	* [[256/243]], known as the limma today;		* [[256/243]], known as the limma today;
	* a variety of quartertones.		* A variety of quartertones.

	== Normal diesis ==		== Normal diesis ==

FloraC: Revert to the older

2024-11-25T12:45:19Z

Revert to the older

← Older revision		Revision as of 12:45, 25 November 2024
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	{{Wikipedia}}		{{Wikipedia}}
	The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:		The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:
	* ~~The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]'';~~		* [[128/125]], the ''augmented comma'' or ''lesser diesis'';
	* by extension, [[128/125]] ~~(≈ 41¢)~~, the ''augmented comma'' or ''lesser diesis'';
	** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';		** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';
	* by extension, a melodic unit of about the size of 128/125. See ''[[Diesis (melodic unit)]]''.		* by extension, a melodic unit of about the size of 128/125 (≈ 41¢). See ''[[Diesis (melodic unit)]]'';
			* by extension, the difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]''.

	In addition, there are a number of archaic usages in [[Ancient Greek music]]:		In addition, there are a number of archaic usages in [[Ancient Greek music]]:
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	== Normal diesis ==		== Normal diesis ==
	The '''normal diesis''' (~~≈~~ 38.7¢) is an [[interval size measure]] defined as one step of [[31edo]].		The '''normal diesis''' (≈ 38.7¢) is an [[interval size measure]] defined as one step of [[31edo]].

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

FloraC: Move the JI intervals to the diesis (melodic unit) page

2024-11-25T12:21:56Z

Move the JI intervals to the diesis (melodic unit) page

← Older revision		Revision as of 12:21, 25 November 2024
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	** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';		** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';
	* by extension, a melodic unit of about the size of 128/125. See ''[[Diesis (melodic unit)]]''.		* by extension, a melodic unit of about the size of 128/125. See ''[[Diesis (melodic unit)]]''.

	~~Intervals with the word in the name:~~
	* [[Magic comma]], or ''small diesis''
	* [[Porcupine comma]], or ''maximal diesis''
	* [[Tetracot comma]], or ''minimal diesis''
	* [[49/48]], the ''large septimal diesis''
	* [[50/49]], the ''septimal tritonic diesis''

	In addition, there are a number of archaic usages in [[Ancient Greek music]]:		In addition, there are a number of archaic usages in [[Ancient Greek music]]:

ArrowHead294 at 01:21, 24 November 2024

2024-11-24T01:21:19Z

← Older revision		Revision as of 01:21, 24 November 2024
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	The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:		The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:
	* The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]'';		* The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]'';
	* by extension, [[128/125]] (≈ 41¢), the ''augmented comma'' or ''lesser diesis'';		* by extension, [[128/125]] (≈ 41¢), the ''augmented comma'' or ''lesser diesis'';
	** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';		** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';
	* by extension, a melodic unit of about the size of 128/125. See ''[[Diesis (melodic unit)]]''.		* by extension, a melodic unit of about the size of 128/125. See ''[[Diesis (melodic unit)]]''.
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	== Normal diesis ==		== Normal diesis ==
	The '''normal diesis''' (≈ 38.7¢) is an [[interval size measure]] defined as one step of [[31edo]].		The '''normal diesis''' (≈ 38.7¢) is an [[interval size measure]] defined as one step of [[31edo]].

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

Godtone: 50/49 was missing

2024-08-23T20:56:14Z

50/49 was missing

← Older revision		Revision as of 20:56, 23 August 2024
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	* [[Tetracot comma]], or ''minimal diesis''		* [[Tetracot comma]], or ''minimal diesis''
	* [[49/48]], the ''large septimal diesis''		* [[49/48]], the ''large septimal diesis''
			* [[50/49]], the ''septimal tritonic diesis''

	In addition, there are a number of archaic usages in [[Ancient Greek music]]:		In addition, there are a number of archaic usages in [[Ancient Greek music]]:

FloraC: Clarify the logical relations between the three senses. +archaic usages. +see also

2024-06-20T13:39:11Z

Clarify the logical relations between the three senses. +archaic usages. +see also

← Older revision		Revision as of 13:39, 20 June 2024
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	{{Wikipedia}}		{{Wikipedia}}
	The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:		The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:

	* The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]'';		* The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]'';
	* [[128/125]] (≈ 41¢), the ''augmented comma'' or ''lesser diesis'';		* by extension, [[128/125]] (≈ 41¢), the ''augmented comma'' or ''lesser diesis'';
	** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';		** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';
	* A melodic unit of about ~~that~~ size. See ''[[Diesis (melodic unit)]]''.		* by extension, a melodic unit of about the size of 128/125. See ''[[Diesis (melodic unit)]]''.

	Intervals with the word in the name:		Intervals with the word in the name:

	* [[Magic comma]], or ''small diesis''		* [[Magic comma]], or ''small diesis''
	* [[Porcupine comma]], or ''maximal diesis''		* [[Porcupine comma]], or ''maximal diesis''
	* [[Tetracot comma]], or ''minimal diesis''		* [[Tetracot comma]], or ''minimal diesis''
	* [[49/48]], the ''large septimal diesis''		* [[49/48]], the ''large septimal diesis''

			In addition, there are a number of archaic usages in [[Ancient Greek music]]:
			* [[256/243]], known as the limma today;
			* a variety of quartertones.

	== Normal diesis ==		== Normal diesis ==
	The '''normal diesis''' (≈ 38.7¢) is an [[interval size measure]] defined as one step of [[31edo]].		The '''normal diesis''' (≈ 38.7¢) is an [[interval size measure]] defined as one step of [[31edo]].

			== See also ==
			* [http://tonalsoft.com/enc/d/diesis.aspx Tonalsoft Encyclopedia \| ''Diesis'']

	{{Disambiguation}}		{{Disambiguation}}

	[[Category:Terms]]		[[Category:Terms]]

FloraC: According to Wikipedia, the sense of diminished second is main. The other senses are derived from it.

2024-06-02T13:26:26Z

According to Wikipedia, the sense of diminished second is main. The other senses are derived from it.

← Older revision		Revision as of 13:26, 2 June 2024
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	The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:		The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:

	* [[128/125]] (≈ 41¢), the ''augmented comma'' or ''lesser diesis''		* The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]'';
	* [[648/625]], the ''diminished comma'' or ''greater diesis''		* [[128/125]] (≈ 41¢), the ''augmented comma'' or ''lesser diesis'';
			** rarely, [[648/625]], the ''diminished comma'' or ''greater diesis'';
	* A melodic unit of about that size. See ''[[Diesis (melodic unit)]]''.		* A melodic unit of about that size. See ''[[Diesis (melodic unit)]]''.
	* The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]''.

	Intervals with the word in the name:		Intervals with the word in the name:

ArrowHead294 at 16:10, 1 June 2024

2024-06-01T16:10:53Z

← Older revision		Revision as of 16:10, 1 June 2024
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	The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:		The '''diesis''' (/ˈdaɪəsɪs/ ''DY-ə-sis''; plural ''dieses'') most commonly refers to:

	* ~~The augmented comma~~ [[128/125]] (≈ 41¢).		* [[128/125]] (≈ 41¢), the ''augmented comma'' or ''lesser diesis''
			* [[648/625]], the ''diminished comma'' or ''greater diesis''
	* A melodic unit of about that size. See ''[[Diesis (melodic unit)]]''.		* A melodic unit of about that size. See ''[[Diesis (melodic unit)]]''.
	* The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]''.		* The difference between two enharmonic notes in a scale. See ''[[Diesis (scale theory)]]''.
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	Intervals with the word in the name:		Intervals with the word in the name:

	* ~~Greater diesis,~~ [[~~648/625~~]]		* [[Magic comma]], or ''small diesis''
	* ~~Small diesis, aka~~ [[~~magic~~ comma]]		* [[Porcupine comma]], or ''maximal diesis''
	* ~~Minimal diesis, aka~~ [[~~tetracot~~ comma]]		* [[Tetracot comma]], or ''minimal diesis''
	* ~~Septimal diesis,~~ [[49/48]]		* [[49/48]], the ''large septimal diesis''

	== Normal diesis ==		== Normal diesis ==