Paramode - Revision history

Lattaio Meimnagaan JS: /* Classification */

2026-07-09T11:09:35Z

Classification

← Older revision		Revision as of 07:09, 9 July 2026
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	It is however not obligatory to use this, though pretty practical for quick notes.		It is however not obligatory to use this, though pretty practical for quick notes.

	=== Classification ===		== Classification ==
	Though every non-palindromic scale has a paramode, it doesn't necessarily mean it's not also a regular mode. Using paramodes out of the original scale's modal system is very uncommon as it is usually not as intuitive to figure out while performing. That's why we separate paramodes into endoparamodes and exoparamodes.		Though every non-palindromic scale has a paramode, it doesn't necessarily mean it's not also a regular mode. Using paramodes out of the original scale's modal system is very uncommon as it is usually not as intuitive to figure out while performing. That's why we separate paramodes into endoparamodes and exoparamodes.
	[[File:Exoparamode.jpg\|thumb\|246x246px\|''Exoparamodal'' relations between Adonian and Morossian prove connection of harmonic minor and major scales.]]		[[File:Exoparamode.jpg\|thumb\|246x246px\|''Exoparamodal'' relations between Adonian and Morossian prove connection of harmonic minor and major scales.]]

	==== Endoparamodes ====		=== Endoparamodes ===
	An endoparamode is a paramode that is simultaneously a mode of the original scale. For instance, the paramode of Ionian (Major) is Phrygian, which is also it's 3rd mode. If a scale has an endoparamode, all of it's modes do too. Other endoparamodal systems include [[Modes of the Melodic Minor Scale\|Athenian]], [[Chlamydian Scale\|Chlamydian]] and Double harmonic major modes.		An endoparamode is a paramode that is simultaneously a mode of the original scale. For instance, the paramode of Ionian (Major) is Phrygian, which is also it's 3rd mode. If a scale has an endoparamode, all of it's modes do too. Other endoparamodal systems include [[Modes of the Melodic Minor Scale\|Athenian]], [[Chlamydian Scale\|Chlamydian]] and Double harmonic major modes.

	==== Exoparamodes ====		=== Exoparamodes ===
	Exoparamodes are paramodes from outer modal systems. A good example of a paramode from a different modal system is the Sangarian scale in relation to the Appalachian scale. Sangarian is the 3rd mode of the melodic major scale and Appalachian is another name for melodic minor.		Exoparamodes are paramodes from outer modal systems. A good example of a paramode from a different modal system is the Sangarian scale in relation to the Appalachian scale. Sangarian is the 3rd mode of the melodic major scale and Appalachian is another name for melodic minor.

	[[Category:Music Theory]]		[[Category:Music Theory]]

Lattaio Meimnagaan JS at 11:02, 9 July 2026

2026-07-09T11:02:32Z

← Older revision		Revision as of 07:02, 9 July 2026
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	==== Exoparamodes ====		==== Exoparamodes ====
	Exoparamodes are paramodes from outer modal systems. A good example of a paramode from a different modal system is the Sangarian scale in relation to the Appalachian scale. Sangarian is the 3rd mode of the melodic major scale and Appalachian is another name for melodic minor.		Exoparamodes are paramodes from outer modal systems. A good example of a paramode from a different modal system is the Sangarian scale in relation to the Appalachian scale. Sangarian is the 3rd mode of the melodic major scale and Appalachian is another name for melodic minor.

			[[Category:Music Theory]]

Lattaio Meimnagaan JS at 09:55, 9 July 2026

2026-07-09T09:55:24Z

← Older revision		Revision as of 05:55, 9 July 2026
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	On [https://ianring.com/musictheory/scales/finder Ian Ring's scale finder], paramodes are called enantiomorphs, and their existence is determined by the "[[wikipedia:Chirality\|chirality]]" of the original scale. A scale without an enantiomorph is called achiral.		On [https://ianring.com/musictheory/scales/finder Ian Ring's scale finder], paramodes are called enantiomorphs, and their existence is determined by the "[[wikipedia:Chirality\|chirality]]" of the original scale. A scale without an enantiomorph is called achiral.

	A paramode of a single mode from a modal system has it's own modal system and any other mode from that system is a paramode of a mode from of the original scale. A paramodal system is a modal system ~~placed~~ alligned with another one in a way so that each of the original modes are next to their paramodes. They are never perfectly alligned, which is why one needs a [[pass formula]] to derive the other ones less manually. If two modal systems are based on paramodes of one another, the entire complex is called a [[hypermodal system]]. A paramode is written down like this for short:		A paramode of a single mode from a modal system has it's own modal system and any other mode from that system is a paramode of a mode from of the original scale. A paramodal system is a modal system alligned with another one in a way so that each of the original modes are next to their paramodes. They are never perfectly alligned, which is why one needs a [[pass formula]] to derive the other ones less manually. If two modal systems are based on paramodes of one another, the entire complex is called a [[hypermodal system]]. A paramode is written down like this for short:
	Scale -TX- Paramode		Scale -TX- Paramode
	It is however not obligatory to use this, though pretty practical for quick notes.		It is however not obligatory to use this, though pretty practical for quick notes.

Lattaio Meimnagaan JS: made this page

2026-07-08T17:12:06Z

made this page

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[[File:Endoparamode.jpg|thumb|An example of an ''endoparamode -'' Ionian's paramode is Phrygian.]]
A '''paramode (or enantiomorph)''' is the output of reversing a scale's semitone step formula or it's degrees. Each scale (excluding scales with positive palindromity, which have 0/itself) have exactly 1 paramode.

On [https://ianring.com/musictheory/scales/finder Ian Ring's scale finder], paramodes are called enantiomorphs, and their existence is determined by the "[[wikipedia:Chirality|chirality]]" of the original scale. A scale without an enantiomorph is called achiral.

A paramode of a single mode from a modal system has it's own modal system and any other mode from that system is a paramode of a mode from of the original scale. A paramodal system is a modal system placed alligned with another one in a way so that each of the original modes are next to their paramodes. They are never perfectly alligned, which is why one needs a [[pass formula]] to derive the other ones less manually. If two modal systems are based on paramodes of one another, the entire complex is called a [[hypermodal system]]. A paramode is written down like this for short:
Scale -TX- Paramode
It is however not obligatory to use this, though pretty practical for quick notes.

=== Classification ===
Though every non-palindromic scale has a paramode, it doesn't necessarily mean it's not also a regular mode. Using paramodes out of the original scale's modal system is very uncommon as it is usually not as intuitive to figure out while performing. That's why we separate paramodes into endoparamodes and exoparamodes.
[[File:Exoparamode.jpg|thumb|246x246px|''Exoparamodal'' relations between Adonian and Morossian prove connection of harmonic minor and major scales.]]

==== Endoparamodes ====
An endoparamode is a paramode that is simultaneously a mode of the original scale. For instance, the paramode of Ionian (Major) is Phrygian, which is also it's 3rd mode. If a scale has an endoparamode, all of it's modes do too. Other endoparamodal systems include [[Modes of the Melodic Minor Scale|Athenian]], [[Chlamydian Scale|Chlamydian]] and Double harmonic major modes.

==== Exoparamodes ====
Exoparamodes are paramodes from outer modal systems. A good example of a paramode from a different modal system is the Sangarian scale in relation to the Appalachian scale. Sangarian is the 3rd mode of the melodic major scale and Appalachian is another name for melodic minor.