User:Frostburn/Music vs Math - Revision history

Frostburn: Remove notation as domain transitive.

2024-06-27T16:29:45Z

Remove notation as domain transitive.

← Older revision		Revision as of 16:29, 27 June 2024
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	\| Minor \|\| A diatonic mode, tonality, or (MOS or categorical) interval quality \|\| A matrix made by removing one row and one column of a larger one; a smaller graph made from a larger one		\| Minor \|\| A diatonic mode, tonality, or (MOS or categorical) interval quality \|\| A matrix made by removing one row and one column of a larger one; a smaller graph made from a larger one
	\|-
	~~\| Notation \|\| A scheme for ''notating'' a piece of music \|\| A symbolic scheme for ''denoting'' mathematical objects~~
	\|-		\|-
	\| Category \|\| A region of similar musical intervals \|\| A collection of mathematical objects of the same "type", related by morphisms aka arrows		\| Category \|\| A region of similar musical intervals \|\| A collection of mathematical objects of the same "type", related by morphisms aka arrows

2024-06-27T16:23:21Z

Add inversion and neutral

← Older revision		Revision as of 16:23, 27 June 2024
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	\| Circle \|\| A star polygon that covers all steps in an equal temperament \|\| A round geometric object with no self-intersections		\| Circle \|\| A star polygon that covers all steps in an equal temperament \|\| A round geometric object with no self-intersections
			\|-
			\| Inversion \|\| A variant of a root position chord with pitches transposed by octaves \|\| Taking the multiplicative inverse or reflecting a space about a circle or a sphere
			\|-
			\| Neutral \|\| Interval quality between major and minor \|\| An identity element
	\|}		\|}

2024-06-27T16:05:05Z

Add circle = star polygon

← Older revision		Revision as of 16:05, 27 June 2024
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	\| Mediant \|\| The third scale degree \|\| Freshman sum		\| Mediant \|\| The third scale degree \|\| Freshman sum
			\|-
			\| Circle \|\| A star polygon that covers all steps in an equal temperament \|\| A round geometric object with no self-intersections
	\|}		\|}

2024-04-18T14:48:21Z

← Older revision		Revision as of 14:48, 18 April 2024
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	\| Bridge \|\| A contrasting section in a piece of music that prepares for the return of the original material section \|\| An edge of a graph whose deletion increases the graph's number of connected components		\| Bridge \|\| A contrasting section in a piece of music that prepares for the return of the original material section \|\| An edge of a graph whose deletion increases the graph's number of connected components
			\|-
			\| Mediant \|\| The third scale degree \|\| Freshman sum
	\|}		\|}

2024-04-18T08:51:44Z

Add "bridge"

← Older revision		Revision as of 08:51, 18 April 2024
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	\| Mode \|\| Specific rotation of a musical scale \|\| The most frequently occurring number		\| Mode \|\| Specific rotation of a musical scale \|\| The most frequently occurring number
			\|-
			\| Bridge \|\| A contrasting section in a piece of music that prepares for the return of the original material section \|\| An edge of a graph whose deletion increases the graph's number of connected components
	\|}		\|}

2024-04-18T08:02:48Z

Add "mode" to the list of confusing terms.

← Older revision		Revision as of 08:02, 18 April 2024
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	\| Suspension \|\| Non-chord tone on a strong beat resolved downwards on a weak beat \|\| A cylinder <math>X \times [0,1]</math> made from the space ''X'' but with both ends collapsed to points, denoted <math>\Sigma X</math>		\| Suspension \|\| Non-chord tone on a strong beat resolved downwards on a weak beat \|\| A cylinder <math>X \times [0,1]</math> made from the space ''X'' but with both ends collapsed to points, denoted <math>\Sigma X</math>
			\|-
			\| Mode \|\| Specific rotation of a musical scale \|\| The most frequently occurring number
	\|}		\|}

2024-03-12T23:04:06Z

← Older revision		Revision as of 23:04, 12 March 2024
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	\| Chain \|\| A sequence (finite or not, closed or not) of consecutive stacked generators, e.g. a chain of fifths \|\| A formal sum of oriented ''k''-simplices or ''k''-cells, certain equivalence classes of which form homology groups		\| Chain \|\| A sequence (finite or not, closed or not) of consecutive stacked generators, e.g. a chain of fifths \|\| A formal sum of oriented ''k''-simplices or ''k''-cells, certain equivalence classes of which form homology groups
	\|-		\|-
	\| Suspension \|\| ~~Tension~~ on a strong beat resolved ~~down~~ on a weak beat \|\| A cylinder <math>X \times [0,1]</math> made from the space ''X'' but with both ends collapsed to points, denoted <math>\Sigma X</math>		\| Suspension \|\| Non-chord tone on a strong beat resolved downwards on a weak beat \|\| A cylinder <math>X \times [0,1]</math> made from the space ''X'' but with both ends collapsed to points, denoted <math>\Sigma X</math>
	\|}		\|}

2024-03-12T23:03:15Z

Added "suspension"!

← Older revision		Revision as of 23:03, 12 March 2024
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	\|-		\|-
	\| Chain \|\| A sequence (finite or not, closed or not) of consecutive stacked generators, e.g. a chain of fifths \|\| A formal sum of oriented ''k''-simplices or ''k''-cells, certain equivalence classes of which form homology groups		\| Chain \|\| A sequence (finite or not, closed or not) of consecutive stacked generators, e.g. a chain of fifths \|\| A formal sum of oriented ''k''-simplices or ''k''-cells, certain equivalence classes of which form homology groups
			\|-
			\| Suspension \|\| Tension on a strong beat resolved down on a weak beat \|\| A cylinder <math>X \times [0,1]</math> made from the space ''X'' but with both ends collapsed to points, denoted <math>\Sigma X</math>
	\|}		\|}

2024-02-28T21:37:09Z

← Older revision		Revision as of 21:37, 28 February 2024
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	\| Stack \|\| To add two musical intervals \|\| A 2-sheaf		\| Stack \|\| To add two musical intervals \|\| A 2-sheaf
	\|-		\|-
	\| Chain \|\| A sequence (finite or not, closed or not) of consecutive stacked generators, e.g. a chain of fifths \|\| A formal sum of oriented ''k''-simplices or ''k''-cells, certain ~~equivalent clases~~ of which form homology groups		\| Chain \|\| A sequence (finite or not, closed or not) of consecutive stacked generators, e.g. a chain of fifths \|\| A formal sum of oriented ''k''-simplices or ''k''-cells, certain equivalence classes of which form homology groups
	\|}		\|}

2024-02-28T21:36:55Z

← Older revision		Revision as of 21:36, 28 February 2024
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	\| Stack \|\| To add two musical intervals \|\| A 2-sheaf		\| Stack \|\| To add two musical intervals \|\| A 2-sheaf
	\|-		\|-
	\| Chain \|\| A sequence (finite or not, closed or not) of consecutive stacked generators, e.g. a chain of fifths \|\| ~~In algebraic topology, a~~ formal sum of oriented ''k''-simplices or ''k''-cells, ~~used to construct~~ homology groups		\| Chain \|\| A sequence (finite or not, closed or not) of consecutive stacked generators, e.g. a chain of fifths \|\| A formal sum of oriented ''k''-simplices or ''k''-cells, certain equivalent clases of which form homology groups
	\|}		\|}