Negri - Revision history

Overthink: /* Scales */ correction

2026-04-13T22:05:27Z

Scales: correction

← Older revision		Revision as of 22:05, 13 April 2026
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	Negri forms 9-note and 10-note [[mos scale]]s, Negri[9] and Negri[10], at [[1L 8s]] and [[9L 1s]] respectively. In [[19edo]], the negri generator is the diatonic half-step of 2\19, which allows these mosses to be written fairly simply in conventional notation. For example, the ssssLssss mode of 19edo could be written as E F Gb G# A B C Db D# E. This mode is particularly useful as it has identical ssss pentachords (analogous to the [[tetrachord]]s of classical Greek music theory) on the 1/1 and 3/2. It is also notable in that a subset of these notes form the E double harmonic major scale, E F G# A B C D# E, which features in a wide variety of world musical traditions. In fact, all modes of Negri[9] and Negri[10] contain at least one mode of the double harmonic scale as a subset.		Negri forms 9-note and 10-note [[mos scale]]s, Negri[9] and Negri[10], at [[1L 8s]] and [[9L 1s]] respectively. In [[19edo]], the negri generator is the diatonic half-step of 2\19, which allows these mosses to be written fairly simply in conventional notation. For example, the ssssLssss mode of 19edo could be written as E F Gb G# A B C Db D# E. This mode is particularly useful as it has identical ssss pentachords (analogous to the [[tetrachord]]s of classical Greek music theory) on the 1/1 and 3/2. It is also notable in that a subset of these notes form the E double harmonic major scale, E F G# A B C D# E, which features in a wide variety of world musical traditions. In fact, all modes of Negri[9] and Negri[10] contain at least one mode of the double harmonic scale as a subset.

	Another useful mode of Negri[9] is Lssssssss, which in 19edo would be A B C Db D# E F Gb G# A. This has a minor triad (A–C–E) for a tonic chord, which can be extended to a 7-limit utonal tetrad (~~A–C–E–D#~~), as well as 7-limit otonal tetrads on E and F that can function as, respectively, a dominant seventh chord and a German augmented sixth chord. This scale also contains the popular Hungarian minor mode of the double harmonic scale, A B C D# E F G# A.		Another useful mode of Negri[9] is Lssssssss, which in 19edo would be A B C Db D# E F Gb G# A. This has a minor triad (A–C–E) for a tonic chord, which can be extended to a 7-limit utonal tetrad (A–C–E–Gb), as well as 7-limit otonal tetrads on E and F that can function as, respectively, a dominant seventh chord and a German augmented sixth chord. This scale also contains the popular Hungarian minor mode of the double harmonic scale, A B C D# E F G# A.

	4 of the 9 modes of Negri[9] are like the Locrian mode of the diatonic major scale in that they do not have a note a perfect 5th above the tonic. These are more difficult to apply conventional music theory to. However even in these modes there are a number of chords built on the tonic that can provide a measure of consonance and stability, such as 13:16:20:24 and 6:7:8.		4 of the 9 modes of Negri[9] are like the Locrian mode of the diatonic major scale in that they do not have a note a perfect 5th above the tonic. These are more difficult to apply conventional music theory to. However even in these modes there are a number of chords built on the tonic that can provide a measure of consonance and stability, such as 13:16:20:24 and 6:7:8.

	Negri[10] also has a number of useful features. One of these features is the fact that it makes 4:5:6 and 10:12:15 share the same "shape" of generic intervals in the scale (as in other rank-2 decatonic scales such as [[pajara]] and [[blackwood]] scales; this is because 5/4 and 6/5 get tempered to the same ~~thing~~ in [[10edo]]).		Negri[10] also has a number of useful features. One of these features is the fact that it makes 4:5:6 and 10:12:15 share the same "shape" of generic intervals in the scale (as in other rank-2 decatonic scales such as [[pajara]] and [[blackwood]] scales; this is because 5/4 and 6/5 get tempered to the same interval in [[10edo]]).

	== History and terminology ==		== History and terminology ==

FloraC: Split intro for a scales section

2026-04-13T10:10:08Z

Split intro for a scales section

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 It is most naturally viewed as a [[2.3.5.7.13 subgroup|2.3.5.7.13-subgroup]] temperament, [[tempering out]] [[49/48]], [[65/64]] and [[91/90]]. This is sometimes called '''negra''', and it is realized consistently in [[19edo]] and [[29edo]]. Other [[edo]]s which may be usable as a negri or negra tuning include [[9edo]], [[10edo]], [[28edo]], [[47edo]], and [[48edo]], all of which are [[consistent]] through (at least) the [[5-odd-limit]], since in the broadest sense, negri is defined as tempering out the [[negri comma]] in the [[5-limit]].
 The 7-limit version can also be viewed as joining with the [[marvel]] temperament family. See [[Semaphoresmic clan #Negri]] for technical data. For discussion on the various 11-limit extensions, see [[Negri extensions]].
@@ Line 89: / Line 81: @@
 |}
 <nowiki/>* In 2.3.5.7.13-subgroup [[CWE tuning]]
 == History and terminology ==

FloraC: Improve linking and style

2026-04-13T09:57:47Z

Improve linking and style

← Older revision		Revision as of 09:57, 13 April 2026
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	}}		}}
	'''Negri''' is a [[regular temperament]] generated by a [[generator]] of approximately 125 [[cent]]s, which can be identified with a tempered [[16/15]], such that:		'''Negri''' is a [[regular temperament]] generated by a [[generator]] of approximately 125 [[cent]]s, which can be identified with a tempered [[16/15]], such that:
			* Two of them make a tempered [[7/6]]~[[8/7]]~[[15/13]];
	* Two of them make a tempered [[7/6]]~[[8/7]]~[[15/13]]		* Three of them make a tempered [[5/4]]~[[16/13]];
	* Three of them make a tempered [[5/4]]~[[16/13]]
	* Four of them make a tempered [[4/3]].		* Four of them make a tempered [[4/3]].

	It is most naturally viewed as a 2.3.5.7.13-[[subgroup]] temperament, [[tempering out]] [[49/48]], [[65/64]] and [[91/90]]. This is sometimes called '''negra''', and it is realized consistently in [[19edo]] and [[29edo]]. Other [[edo]]s which may be usable as a negri or negra tuning include [[9edo]], [[10edo]], [[28edo]], [[47edo]], and [[48edo]], all of which are [[consistent]] through (at least) the [[5-odd-limit]], since in the broadest sense, negri is defined as tempering out the [[negri comma]] in the [[5-limit]].		It is most naturally viewed as a [[2.3.5.7.13 subgroup\|2.3.5.7.13-subgroup]] temperament, [[tempering out]] [[49/48]], [[65/64]] and [[91/90]]. This is sometimes called '''negra''', and it is realized consistently in [[19edo]] and [[29edo]]. Other [[edo]]s which may be usable as a negri or negra tuning include [[9edo]], [[10edo]], [[28edo]], [[47edo]], and [[48edo]], all of which are [[consistent]] through (at least) the [[5-odd-limit]], since in the broadest sense, negri is defined as tempering out the [[negri comma]] in the [[5-limit]].

	Negri forms 9-note and 10-note [[mos]]~~ses~~, Negri[9] and Negri[10], at [[1L 8s]] and [[9L 1s]] respectively. In [[19edo]], the negri generator is the "diatonic half step" of 2\19, which allows these mosses to be written fairly simply in conventional notation. For example, the ssssLssss mode of 19edo could be written as E F Gb G# A B C Db D# E. This mode is particularly useful as it has identical ssss pentachords (analogous to the [[tetrachord]]s of classical Greek music theory) on the 1/1 and 3/2. It is also notable in that a subset of these notes form the E ~~Double Harmonic Major~~ scale, E F G# A B C D# E, which features in a wide variety of world musical traditions. In fact, all modes of Negri[9] and Negri[10] contain at least one mode of the double harmonic scale as a subset.		Negri forms 9-note and 10-note [[mos scale]]s, Negri[9] and Negri[10], at [[1L 8s]] and [[9L 1s]] respectively. In [[19edo]], the negri generator is the diatonic half-step of 2\19, which allows these mosses to be written fairly simply in conventional notation. For example, the ssssLssss mode of 19edo could be written as E F Gb G# A B C Db D# E. This mode is particularly useful as it has identical ssss pentachords (analogous to the [[tetrachord]]s of classical Greek music theory) on the 1/1 and 3/2. It is also notable in that a subset of these notes form the E double harmonic major scale, E F G# A B C D# E, which features in a wide variety of world musical traditions. In fact, all modes of Negri[9] and Negri[10] contain at least one mode of the double harmonic scale as a subset.

	Another useful mode of Negri[9] is Lssssssss, which in 19edo would be A B C Db D# E F Gb G# A. This has a minor triad (A–C–E) for a tonic chord, which can be extended to a 7-limit utonal tetrad (A–C–E–D#), as well as 7-limit otonal tetrads on E and F that can function as, respectively, a dominant seventh chord and a German augmented sixth chord. This scale also contains the popular Hungarian minor mode of the double harmonic scale, A B C D# E F G# A.		Another useful mode of Negri[9] is Lssssssss, which in 19edo would be A B C Db D# E F Gb G# A. This has a minor triad (A–C–E) for a tonic chord, which can be extended to a 7-limit utonal tetrad (A–C–E–D#), as well as 7-limit otonal tetrads on E and F that can function as, respectively, a dominant seventh chord and a German augmented sixth chord. This scale also contains the popular Hungarian minor mode of the double harmonic scale, A B C D# E F G# A.
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	Negri[10] also has a number of useful features. One of these features is the fact that it makes 4:5:6 and 10:12:15 share the same "shape" of generic intervals in the scale (as in other rank-2 decatonic scales such as [[pajara]] and [[blackwood]] scales; this is because 5/4 and 6/5 get tempered to the same thing in [[10edo]]).		Negri[10] also has a number of useful features. One of these features is the fact that it makes 4:5:6 and 10:12:15 share the same "shape" of generic intervals in the scale (as in other rank-2 decatonic scales such as [[pajara]] and [[blackwood]] scales; this is because 5/4 and 6/5 get tempered to the same thing in [[10edo]]).

	The 7-limit version can also be viewed as joining with the [[marvel]] temperament family. See [[Semaphoresmic clan #Negri]] for ~~more~~ technical data. For the various 11-limit extensions, see [[~~negri~~ extensions]].		The 7-limit version can also be viewed as joining with the [[marvel]] temperament family. See [[Semaphoresmic clan #Negri]] for technical data. For discussion on the various 11-limit extensions, see [[Negri extensions]].

	== Interval chain ==		== Interval chain ==
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	* [https://www.youtube.com/playlist?list=PLkW9S8bpltfy3qYhWKO2vyloaMGiH4JtN ''Negri-9 Modal Fugues''] (YouTube playlist)		* [https://www.youtube.com/playlist?list=PLkW9S8bpltfy3qYhWKO2vyloaMGiH4JtN ''Negri-9 Modal Fugues''] (YouTube playlist)

	== ~~Notes~~ ==		== References ==
	<references/>		<references/>

Overthink: expand subgroups

2026-02-10T06:03:15Z

expand subgroups

← Older revision		Revision as of 06:03, 10 February 2026
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	\| Title = Negri		\| Title = Negri
	\| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13		\| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13
	\| Comma basis = [[16875/16384]] (5~~-limit~~);<br> [[49/48]], [[225/224]] (7~~-limit~~);<br> [[49/48]], [[65/64]], [[91/90]] (L7.13)		\| Comma basis = [[16875/16384]] (2.3.5);<br> [[49/48]], [[225/224]] (2.3.5.7);<br> [[49/48]], [[65/64]], [[91/90]] (2.3.5.7.13)
	\| Edo join 1 = 10 \| Edo join 2 = 19		\| Edo join 1 = 10 \| Edo join 2 = 19
	\| Mapping = 1; -4 3 -2 -3		\| Mapping = 1; -4 3 -2 -3
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	\| Color name = Laquadyoti		\| Color name = Laquadyoti
	\| Odd limit 1 = 7 \| Mistuning 1 = 17.8 \| Complexity 1 = 8		\| Odd limit 1 = 7 \| Mistuning 1 = 17.8 \| Complexity 1 = 8
	\| Odd limit 2 = L7.13 15 \| Mistuning 2 = 17.8 \| Complexity 2 = 19		\| Odd limit 2 = 2.3.5.7.13 15 \| Mistuning 2 = 17.8 \| Complexity 2 = 19
	}}		}}
	'''Negri''' is a [[regular temperament]] generated by a [[generator]] of approximately 125 [[cent]]s, which can be identified with a tempered [[16/15]], such that:		'''Negri''' is a [[regular temperament]] generated by a [[generator]] of approximately 125 [[cent]]s, which can be identified with a tempered [[16/15]], such that:

FloraC: Cleanup on infobox

2026-02-09T09:32:25Z

Cleanup on infobox

← Older revision		Revision as of 09:32, 9 February 2026
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	{{interwiki		{{interwiki
			\| en = Negri
	\| de = Negri		\| de = Negri
	~~\| en = Negri~~
	\| es =		\| es =
	\| ja =		\| ja =
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	\| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13		\| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13
	\| Comma basis = [[16875/16384]] (5-limit);<br> [[49/48]], [[225/224]] (7-limit);<br> [[49/48]], [[65/64]], [[91/90]] (L7.13)		\| Comma basis = [[16875/16384]] (5-limit);<br> [[49/48]], [[225/224]] (7-limit);<br> [[49/48]], [[65/64]], [[91/90]] (L7.13)
	~~\| Color name = Laquadyoti~~
	\| Edo join 1 = 10 \| Edo join 2 = 19		\| Edo join 1 = 10 \| Edo join 2 = 19
	\| ~~Generator~~ = 16/15 \| ~~Generator~~ tuning = 125.4 \| Optimization method = CWE		\| Mapping = 1; -4 3 -2 -3
			\| Generators = 16/15 \| Generators tuning = 125.4 \| Optimization method = CWE
	\| MOS scales = [[1L 8s]], [[9L 1s]], [[10L 9s]]		\| MOS scales = [[1L 8s]], [[9L 1s]], [[10L 9s]]
	~~\| Mapping = 1; -4 3 -2 -3~~
	\| Pergen = (P8, P4/4)		\| Pergen = (P8, P4/4)
			\| Color name = Laquadyoti
	\| Odd limit 1 = 7 \| Mistuning 1 = 17.8 \| Complexity 1 = 8		\| Odd limit 1 = 7 \| Mistuning 1 = 17.8 \| Complexity 1 = 8
	\| Odd limit 2 = (L7.13) 15 \| Mistuning 2 = 17.8 \| Complexity 2 = 19		\| Odd limit 2 = L7.13 15 \| Mistuning 2 = 17.8 \| Complexity 2 = 19
	}}		}}
	'''Negri''' is a [[regular temperament]] generated by a [[generator]] of approximately 125 [[cent]]s, which can be identified with a tempered [[16/15]], such that:		'''Negri''' is a [[regular temperament]] generated by a [[generator]] of approximately 125 [[cent]]s, which can be identified with a tempered [[16/15]], such that:

FloraC: Ploidacot in Template: Infobox regtemp was fixed

2025-11-21T18:03:52Z

Ploidacot in Template: Infobox regtemp was fixed

← Older revision		Revision as of 18:03, 21 November 2025
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	\| ja =		\| ja =
	}}		}}
	{{Infobox ~~Regtemp~~		{{Infobox regtemp
	\| Title = Negri		\| Title = Negri
	\| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13		\| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13
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	\| MOS scales = [[1L 8s]], [[9L 1s]], [[10L 9s]]		\| MOS scales = [[1L 8s]], [[9L 1s]], [[10L 9s]]
	\| Mapping = 1; -4 3 -2 -3		\| Mapping = 1; -4 3 -2 -3
	~~\| Ploidacot = omega-tetracot~~
	\| Pergen = (P8, P4/4)		\| Pergen = (P8, P4/4)
	\| Odd limit 1 = 7 \| Mistuning 1 = 17.8 \| Complexity 1 = 8		\| Odd limit 1 = 7 \| Mistuning 1 = 17.8 \| Complexity 1 = 8

Overthink: + color name

2025-11-11T17:45:45Z

+ color name

← Older revision		Revision as of 17:45, 11 November 2025
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	\| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13		\| Subgroups = 2.3.5, 2.3.5.7, 2.3.5.7.13
	\| Comma basis = [[16875/16384]] (5-limit);<br> [[49/48]], [[225/224]] (7-limit);<br> [[49/48]], [[65/64]], [[91/90]] (L7.13)		\| Comma basis = [[16875/16384]] (5-limit);<br> [[49/48]], [[225/224]] (7-limit);<br> [[49/48]], [[65/64]], [[91/90]] (L7.13)
			\| Color name = Laquadyoti
	\| Edo join 1 = 10 \| Edo join 2 = 19		\| Edo join 1 = 10 \| Edo join 2 = 19
	\| Generator = 16/15 \| Generator tuning = 125.4 \| Optimization method = CWE		\| Generator = 16/15 \| Generator tuning = 125.4 \| Optimization method = CWE

Overthink: Added Infobox Regtemp

2025-11-11T17:39:57Z

Added Infobox Regtemp

@@ Line 4: / Line 4: @@
 | es =
 | ja =
 }}
 '''Negri''' is a [[regular temperament]] generated by a [[generator]] of approximately 125 [[cent]]s, which can be identified with a tempered [[16/15]], such that:

FloraC: Text replacement - "prime-optimized" to "norm-based"

2025-09-12T14:06:05Z

Text replacement - "prime-optimized" to "norm-based"

← Older revision		Revision as of 14:06, 12 September 2025
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	== Tunings ==		== Tunings ==
	{\| class="wikitable mw-collapsible mw-collapsed"		{\| class="wikitable mw-collapsible mw-collapsed"
	\|+ style="font-size: 105%; white-space: nowrap;" \| 7-limit ~~prime~~-~~optimized~~ tunings		\|+ style="font-size: 105%; white-space: nowrap;" \| 7-limit norm-based tunings
	\|-		\|-
	! rowspan="2" \|		! rowspan="2" \|
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	{\| class="wikitable mw-collapsible mw-collapsed"		{\| class="wikitable mw-collapsible mw-collapsed"
	\|+ style="font-size: 105%; white-space: nowrap;" \| 2.3.5.7.13-subgroup ~~prime~~-~~optimized~~ tunings		\|+ style="font-size: 105%; white-space: nowrap;" \| 2.3.5.7.13-subgroup norm-based tunings
	\|-		\|-
	! rowspan="2" \|		! rowspan="2" \|

FloraC: + category

2025-08-21T17:33:13Z

+ category

← Older revision		Revision as of 17:33, 21 August 2025
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	[[Category:Semaphoresmic clan]]		[[Category:Semaphoresmic clan]]
	[[Category:Marvel temperaments]]		[[Category:Marvel temperaments]]
			[[Category:Avicennmic temperaments]]