Munit - Revision history

Overthink: /* Suhajira[10] */ 9/7 is at +8 gens, not -9

2026-01-15T06:23:35Z

Suhajira[10]: 9/7 is at +8 gens, not -9

← Older revision		Revision as of 06:23, 15 January 2026
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	* 7/6: LL		* 7/6: LL
	* 11/9: LLs		* 11/9: LLs
	* 9/7: LLL		* 14/11: LLL
	* 4/3: LLsL		* 4/3: LLsL
	* 3/2: LLsLLs		* 3/2: LLsLLs

	So right off the bat we have some very interesting stuff! In the POTE tuning, our large step is 138.674 cents and our small step is 76.427 cents. So we have to learn that, again, 9/8 is not one step, but that there is a passing tone in between. Similarly, we must learn that 7/6 is subdivided into two large steps, and that 11/9 is subdivided into two ~~large and one small step. Perhaps strangely, if we are used to superpyth, 9/7 is now subdivided into three equal parts rather than two, and 4/3 into three~~ large and one small step. 3/2 is now a type of "seventh" rather than a "fifth", and so on. Learning to internalize these munits is an important part of forming the correct expectations regarding what harmonic properties to expect upon hearing a certain pattern of scale steps.		So right off the bat we have some very interesting stuff! In the POTE tuning, our large step is 138.674 cents and our small step is 76.427 cents. So we have to learn that, again, 9/8 is not one step, but that there is a passing tone in between. Similarly, we must learn that 7/6 is subdivided into two large steps, and that 11/9 is subdivided into two large and one small step. 3/2 is now a type of "seventh" rather than a "fifth", and so on. Learning to internalize these munits is an important part of forming the correct expectations regarding what harmonic properties to expect upon hearing a certain pattern of scale steps.

	=== Neutral[7] ===		=== Neutral[7] ===

Jerdle: /* Specification */ Formatting fix

2025-11-01T19:34:07Z

Specification: Formatting fix

← Older revision		Revision as of 19:34, 1 November 2025
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	The interval of equivalence of a scale, corresponding directly to the framing interval of a munit, has some similar variation in use. For instance, the LLsLLLs scale is typically assumed to have an "octave" as the interval of equivalence, but it is quite common for this "octave" not to be a perfect 1200 cents, but rather stretched or compressed slightly (as is common with pianos, or also the [[TOP tuning]]). Similarly, when we talk about a munit like 4/3: LLs, we typically do not assume the 4/3 needs to be perfectly just; rather it could be tempered with the exact size of the tempered 4/3 varying somewhat.		The interval of equivalence of a scale, corresponding directly to the framing interval of a munit, has some similar variation in use. For instance, the LLsLLLs scale is typically assumed to have an "octave" as the interval of equivalence, but it is quite common for this "octave" not to be a perfect 1200 cents, but rather stretched or compressed slightly (as is common with pianos, or also the [[TOP tuning]]). Similarly, when we talk about a munit like 4/3: LLs, we typically do not assume the 4/3 needs to be perfectly just; rather it could be tempered with the exact size of the tempered 4/3 varying somewhat.

	Lastly, while this article is primarily focused on having a framing interval which has some rational interpretation, there is nothing preventing us from using other framing intervals based on anything, such as irrational tuning systems built on phi or e, etc. We may even take some liberties with the definition such that framing intervals are given as a range of sizes such as those based on[[Interval category\|interval categories], so that we can say things like "M3: LsL" (where M3 is a generic "major third"-sized interval, perhaps somewhere in the 370-410 cent size range).		Lastly, while this article is primarily focused on having a framing interval which has some rational interpretation, there is nothing preventing us from using other framing intervals based on anything, such as irrational tuning systems built on phi or e, etc. We may even take some liberties with the definition such that framing intervals are given as a range of sizes such as those based on [[Interval category\|interval categories]], so that we can say things like "M3: LsL" (where M3 is a generic "major third"-sized interval, perhaps somewhere in the 370-410 cent size range).

	== Examples ==		== Examples ==

Fredg999: Merge note about jins into previous paragraph, add explicit credit in lead section (also mentioned later down but not as obvious)

2023-12-21T08:36:10Z

Merge note about jins into previous paragraph, add explicit credit in lead section (also mentioned later down but not as obvious)

← Older revision		Revision as of 08:36, 21 December 2023
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	A '''munit'''{{idiosyncratic}} (pronounced myoo-nit) is the combination of a musical interval, called a '''framing interval''', and a pattern of musical intervals (typically represented in relative step sizes) subdividing that interval. An example munit would be "4/3: LLs," sometimes called the "major tetrachord."		A '''munit'''{{idiosyncratic}} (pronounced myoo-nit) is the combination of a musical interval, called a '''framing interval''', and a pattern of musical intervals (typically represented in relative step sizes) subdividing that interval. An example munit would be "4/3: LLs," sometimes called the "major tetrachord."

	In short, munits are fragments of musical scales, intended in some sense to generalize [[tetrachord~~\|tetrachords~~]]. They are both ~~useful~~ as a method of building scales from smaller chunks, and also as a way to analyze our expectations, harmonic or otherwise, regarding how intervals are subdivided differently into step-size patterns in different tuning systems.		In short, munits are fragments of musical scales, intended in some sense to generalize [[tetrachord]]s, jins in [[maqam]], etc. They are useful both as a method of building scales from smaller chunks, and also as a way to analyze our expectations, harmonic or otherwise, regarding how intervals are subdivided differently into step-size patterns in different tuning systems.

	The concept of [[~~jins~~]] in ~~[[maqam]] can be considered a subset of the concept of munit~~.		The concept of munit was proposed by [[Mike Battaglia]] in 2011.

	== Interpretation and usefulness ==		== Interpretation and usefulness ==

Eliora at 23:41, 20 December 2023

2023-12-20T23:41:23Z

← Older revision		Revision as of 23:41, 20 December 2023
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	In short, munits are fragments of musical scales, intended in some sense to generalize [[tetrachord\|tetrachords]]. They are both useful as a method of building scales from smaller chunks, and also as a way to analyze our expectations, harmonic or otherwise, regarding how intervals are subdivided differently into step-size patterns in different tuning systems.		In short, munits are fragments of musical scales, intended in some sense to generalize [[tetrachord\|tetrachords]]. They are both useful as a method of building scales from smaller chunks, and also as a way to analyze our expectations, harmonic or otherwise, regarding how intervals are subdivided differently into step-size patterns in different tuning systems.

	The concept of [[jins]] in [[maqam]] ~~very closely parallels~~ the concept of munit.		The concept of [[jins]] in [[maqam]] can be considered a subset of the concept of munit.

	== Interpretation and usefulness ==		== Interpretation and usefulness ==

Eliora at 17:05, 20 December 2023

2023-12-20T17:05:50Z

← Older revision		Revision as of 17:05, 20 December 2023
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	In short, munits are fragments of musical scales, intended in some sense to generalize [[tetrachord\|tetrachords]]. They are both useful as a method of building scales from smaller chunks, and also as a way to analyze our expectations, harmonic or otherwise, regarding how intervals are subdivided differently into step-size patterns in different tuning systems.		In short, munits are fragments of musical scales, intended in some sense to generalize [[tetrachord\|tetrachords]]. They are both useful as a method of building scales from smaller chunks, and also as a way to analyze our expectations, harmonic or otherwise, regarding how intervals are subdivided differently into step-size patterns in different tuning systems.

			The concept of [[jins]] in [[maqam]] very closely parallels the concept of munit.

	== Interpretation and usefulness ==		== Interpretation and usefulness ==

Fredg999: Mark term as idiosyncratic, heading levels + capitalization, categories

2023-12-12T20:38:08Z

Mark term as idiosyncratic, heading levels + capitalization, categories

Show changes

BudjarnLambeth: Moved from category "naming" to "terms"

2023-04-26T09:19:34Z

Moved from category "naming" to "terms"

← Older revision		Revision as of 09:19, 26 April 2023
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	Munits were originally introduced in [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102052.html#102052 http://groups.yahoo.com/group/tuning/message/102052]		Munits were originally introduced in [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102052.html#102052 http://groups.yahoo.com/group/tuning/message/102052]
	[[Category:Tetrachords]]		[[Category:Tetrachords]]
	[[Category:~~Naming~~]]		[[Category:Terms]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-26T05:06:06Z

Categorised this uncategorised page

← Older revision		Revision as of 05:06, 26 April 2023
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	Munits were originally introduced in [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102052.html#102052 http://groups.yahoo.com/group/tuning/message/102052]		Munits were originally introduced in [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102052.html#102052 http://groups.yahoo.com/group/tuning/message/102052]
			[[Category:Tetrachords]]
			[[Category:Naming]]

Yourmusic Productions: Fix formatting

2021-12-30T11:17:34Z

Fix formatting

← Older revision		Revision as of 11:17, 30 December 2021
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	== Suhajira[10] ==		== Suhajira[10] ==

	Lastly, as an informal note, we tend to get some very interesting things when we look at decatonic scales. For instance, one may look at the [[~~7L3s~~]] LLsLLsLLsL MOS of suhajira temperament, in particular the 13-limit extension tempering out 64/63, 78/77, and 169/168. Then, we get some very interesting munits:		Lastly, as an informal note, we tend to get some very interesting things when we look at decatonic scales. For instance, one may look at the [[7L_3s]] LLsLLsLLsL MOS of suhajira temperament, in particular the 13-limit extension tempering out 64/63, 78/77, and 169/168. Then, we get some very interesting munits:

	* 13/12: L		* 13/12: L

Mike Battaglia: expanded with tons of new material

2021-12-29T23:37:03Z

expanded with tons of new material

Show changes