Trachytonic - Revision history

VectorGraphics at 09:34, 22 June 2025

2025-06-22T09:34:32Z

← Older revision		Revision as of 09:34, 22 June 2025
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	{{Idiosyncratic terms}}		{{Idiosyncratic terms}}

	'''Trachytonic''' is the 7-note MODMOS LLmmLLs. It is usually tuned in 17edo (that is, 3322331). It is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, it is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.		'''Trachytonic''' is the 7-note MODMOS LLmmLLs, which is the pattern of the maqam [[Bayati]] taken as a scale in the context of Western xenharmonic theory. It is usually tuned in 17edo (that is, 3322331). It is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, it is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.

	The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get trachytonic. ~~trachytonic~~ is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales~~. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam~~.		The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get trachytonic. Trachytonic is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales.

	The scale and its modes have alternative "Simpsonsesque" names by Mason Green, where the scale itself is called "'''screamapillar'''", which comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.		The scale and its modes have alternative "Simpsonsesque" names by Mason Green, where the scale itself is called "'''screamapillar'''", which comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.

VectorGraphics at 08:41, 21 June 2025

2025-06-21T08:41:13Z

← Older revision		Revision as of 08:41, 21 June 2025
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	The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get trachytonic. trachytonic is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.		The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get trachytonic. trachytonic is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.

	The scale ~~has an~~ alternative ~~name~~ by Mason Green, "'''screamapillar'''", which comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.		The scale and its modes have alternative "Simpsonsesque" names by Mason Green, where the scale itself is called "'''screamapillar'''", which comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.

	The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. The name "trachytonic" comes from the Greek "τρᾱχῠ́ς", meaning "rough".		The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. The name "trachytonic" comes from the Greek "τρᾱχῠ́ς", meaning "rough".

VectorGraphics at 08:33, 21 June 2025

2025-06-21T08:33:35Z

VectorGraphics: VectorGraphics moved page Screamapillar to Trachytonic: finally

2025-06-21T08:31:29Z

VectorGraphics moved page Screamapillar to Trachytonic: finally

← Older revision	Revision as of 08:31, 21 June 2025
(No difference)

CellularAutomaton: improved formatting, especially in the mode name section

2025-03-30T18:45:46Z

improved formatting, especially in the mode name section

← Older revision		Revision as of 18:45, 30 March 2025
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	{{Idiosyncratic terms}}		{{Idiosyncratic terms}}

	'''Screamapillar''', the 7-note MODMOS LLmmLLs~~, and the temperament which characterizes this scale, is also called '''"trachytonic~~.~~"'''~~ It is usually tuned in 17edo (that is, 3322331). It is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, it is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.		'''Screamapillar''' or '''trachytonic''' is the 7-note MODMOS LLmmLLs. It is usually tuned in 17edo (that is, 3322331). It is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, it is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.

	The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar. Screamapillar is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.		The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar. Screamapillar is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.
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	The name "screamapillar" comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.		The name "screamapillar" comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.

	The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.		The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth. The name "trachytonic" comes from the Greek "τρᾱχῠ́ς", meaning "rough".

	The name "trachytonic" comes from the Greek "~~trachys~~", meaning "rough".

	Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.		Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.
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	The modes of screamapillar are as follows:		The modes of screamapillar are as follows:
			{\| class="wikitable"
	~~'''Ionian d7/Mixolydian <span style~~="~~line~~-~~height~~: ~~1.5;~~"~~>‡7</span>''':~~ 3 3 1 3 3 ~~2 2~~		\|-
			! Quasi-diatonic name by [[User:CellularAutomaton\|CA]] !! Alternate quasi-diatonic name by Wendy Gunk !! "Simpsonsesque" name by Mason Green !! Step signature
	~~'''Dorian''' '''d6/Aeolian <span style="line-height: 1.5;">‡6</span>''':~~ 3 1 3 3 2 2 3		\|-
			\| Lydian d4 \|\| Ionian t4 \|\| Springfieldian \|\| 3 3 2 2 3 3 1
	~~<span style="line-height: 1.5;">'''Phrygian d5/Locrian ‡5''': 1 3~~ 3 2 2 3 3~~</span>~~		\|-
			\| Ionian d7 \|\| Mixolydian t7 \|\| Shelbyvillean \|\| 3 3 1 3 3 2 2
	~~'''Lydian d4/<span style="line-height:~~ 1~~.5;">Ionian ‡4</span>''':~~ 3 3 2 2 3 ~~3 1~~		\|-
			\| Mixolydian d3 \|\| Dorian t3 \|\| Swartzwelderean \|\| 3 2 2 3 3 1 3
	~~'''Mixolydian''' '''d3/<span style="line-height: 1.5;">Dorian ‡3</span>''': 3~~ 2 2 3 3 1 3		\|-
			\| Dorian d6 \|\| Aeolian t6 \|\| Ogdenvillean \|\| 3 1 3 3 2 2 3
	~~'''Aeolian d2/<span style="line-height:~~ 1~~.5;">Dorian ‡2</span>''':~~ 2 2 ~~3 3 1~~ 3 3		\|-
			\| Aeolian d2 \|\| Phrygian t2 \|\| Capitalcitian \|\| 2 2 3 3 1 3 3
	~~'''No clear diatonic equivalent, can be thought of as Lydian~~ d1/~~<span style="line-height: 1.5;">Locrian ‡1</span>''':~~ 2 3 3 1 3 3 2		\|-
			\| Phrygian d5 \|\| Locrian t5 \|\| Spittlean \|\| 1 3 3 2 2 3 3
			\|-
			\| Trachylocrian \|\| Locrian d1 / Lydian t1 \|\| Northhaverbrookian \|\| 2 3 3 1 3 3 2
			\|}

	=<span style="line-height: 1.5;">As a temperament</span>=		=<span style="line-height: 1.5;">As a temperament</span>=

Wendy gunk: Removed clear opinionation from the article on the topic of the name "Screamapillar." I encourage someone to find a smooth way to encorporate both trachylocrian and the "springfieldian" names of these scales into the article.

2025-03-30T11:11:15Z

Removed clear opinionation from the article on the topic of the name "Screamapillar." I encourage someone to find a smooth way to encorporate both trachylocrian and the "springfieldian" names of these scales into the article.

← Older revision		Revision as of 11:11, 30 March 2025
Line 1:		Line 1:
	{{Idiosyncratic terms}}		{{Idiosyncratic terms}}

	'''~~Trachytonic~~''', the 7-note MODMOS LLmmLLs, and the temperament which characterizes this scale, is also called '''"~~screamapillar~~"'''~~, though this name is heavily disliked. Trachytonic~~ is usually tuned in 17edo (that is, 3322331). ~~Trachytonic~~ is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, ~~trachytonic~~ is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.		'''Screamapillar''', the 7-note MODMOS LLmmLLs, and the temperament which characterizes this scale, is also called '''"trachytonic."''' It is usually tuned in 17edo (that is, 3322331). It is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, it is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.

	~~Screamapillar/trachytonic~~ can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar. Screamapillar is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.		The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar. Screamapillar is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.

	The name "screamapillar" comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.		The name "screamapillar" comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.

			The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.

	The name "trachytonic" comes from the Greek "trachys", meaning "rough".		The name "trachytonic" comes from the Greek "trachys", meaning "rough".

	The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.

	Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.		Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.
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	The modes of screamapillar are as follows:		The modes of screamapillar are as follows:

	'''~~Lydian d4~~'''. 3 3 ~~2 2~~ 3 ~~3 1~~		'''Ionian d7/Mixolydian <span style="line-height: 1.5;">‡7</span>''': 3 3 1 3 3 2 2

	~~Mixolydian d3.~~ 3 2 2 ~~3 3 1 3~~

	'''Aeolian n2''': ~~2 2~~ 3 3 1 3 3		'''Dorian''' '''d6/Aeolian <span style="line-height: 1.5;">‡6</span>''': 3 1 3 3 2 2 3

	'''~~Trachylocrian~~''': 2 3 3 1 3 3 2		<span style="line-height: 1.5;">'''Phrygian d5/Locrian ‡5''': 1 3 3 2 2 3 3</span>

	'''Ionian d7''': 3 3 1 3 3 ~~2 2~~		'''Lydian d4/<span style="line-height: 1.5;">Ionian ‡4</span>''': 3 3 2 2 3 3 1

	Dorian d6: 3 1 3 3 ~~2 2~~ 3		'''Mixolydian''' '''d3/<span style="line-height: 1.5;">Dorian ‡3</span>''': 3 2 2 3 3 1 3

	<span style="line-height: 1.5;">~~'''Phrygian n5~~''': 1 3 3 ~~2 2~~ 3 3~~</span>~~		'''Aeolian d2/<span style="line-height: 1.5;">Dorian ‡2</span>''': 2 2 3 3 1 3 3

	-~~----~~		'''No clear diatonic equivalent, can be thought of as Lydian d1/<span style="line-height: 1.5;">Locrian ‡1</span>''': 2 3 3 1 3 3 2

	=<span style="line-height: 1.5;">As a temperament</span>=		=<span style="line-height: 1.5;">As a temperament</span>=

VectorGraphics: Beginning to phase out "screamapillar"

2025-03-25T18:56:15Z

Beginning to phase out "screamapillar"

← Older revision		Revision as of 18:56, 25 March 2025
Line 1:		Line 1:
	{{Idiosyncratic terms}}		{{Idiosyncratic terms}}

	~~The~~ 7-note MODMOS LLmmLLs~~, usually in [[17edo\|17edo]] or its close cousins like [[27edt\|27edt]] or [[44ed6\|44ed6]], (that is, 3322331)~~, and the temperament which characterizes this scale, ~~are~~ called '''"screamapillar"''', though this name is heavily disliked. ~~Screamapillar~~ is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, ~~screamapillar~~ is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.		'''Trachytonic''', the 7-note MODMOS LLmmLLs, and the temperament which characterizes this scale, is also called '''"screamapillar"''', though this name is heavily disliked. Trachytonic is usually tuned in 17edo (that is, 3322331). Trachytonic is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, trachytonic is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.

	Screamapillar can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar ~~(specifically, the Springfieldian mode)~~. Screamapillar is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.		Screamapillar/trachytonic can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar. Screamapillar is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.

	~~Screamapillar is named by~~ analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.		The name "screamapillar" comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.

			The name "trachytonic" comes from the Greek "trachys", meaning "rough".

	The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.		The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.
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	Other high-limit chords and tone clusters can also be realized in screamapillar, including the approximations of 8:9:11:12 (which is like a sus chord but with more tension) and 12:13:14:16:18.		Other high-limit chords and tone clusters can also be realized in screamapillar, including the approximations of 8:9:11:12 (which is like a sus chord but with more tension) and 12:13:14:16:18.

	The modes of screamapillar ~~could be given Simpsonsesque names~~ as follows:		The modes of screamapillar are as follows:

	'''~~Springfieldian~~'''~~: Modified Ionian (major)~~. 3 3 2 2 3 3 1		'''Lydian d4'''. 3 3 2 2 3 3 1

	~~'''Swartzwelderean'''''':''' Modified Dorian~~. 3 2 2 3 3 1 3		Mixolydian d3. 3 2 2 3 3 1 3

	'''~~Capitalcitian:~~''' ~~Modified Phrygian~~: 2 2 3 3 1 3 3		'''Aeolian n2''': 2 2 3 3 1 3 3

	'''~~Northhaverbrookian:~~''' ~~Modified Lydian~~: 2 3 3 1 3 3 2		'''Trachylocrian''': 2 3 3 1 3 3 2

	'''~~Shelbyvillean:~~''' ~~Modified Mixolydian~~: 3 3 1 3 3 2 2		'''Ionian d7''': 3 3 1 3 3 2 2

	~~'''Ogdenvillean'''''':''' Modified Aeolian~~: 3 1 3 3 2 2 3		Dorian d6: 3 1 3 3 2 2 3

	~~'''Spittlean''': Mo'''~~<span style="line-height: 1.5;">~~e</span>~~'''~~<span style="line-height: 1.5;">dified Locrian~~: 1 3 3 2 2 3 3</span>		<span style="line-height: 1.5;">'''Phrygian n5''': 1 3 3 2 2 3 3</span>

	-----		-----

VectorGraphics at 05:27, 25 March 2025

2025-03-25T05:27:17Z

← Older revision		Revision as of 05:27, 25 March 2025
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	{{Idiosyncratic terms}}		{{Idiosyncratic terms}}

	~~'''Screamapillar''' is a~~ 7-note MODMOS in [[17edo\|17edo]] (or its close cousins like [[27edt\|27edt]] or [[44ed6\|44ed6]]), or the temperament which characterizes this scale. Screamapillar ~~has three different step sizes and is described as a LLmmLLs scale (i. e., 3322331). As such, it~~ is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, screamapillar is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.		The 7-note MODMOS LLmmLLs, usually in [[17edo\|17edo]] or its close cousins like [[27edt\|27edt]] or [[44ed6\|44ed6]], (that is, 3322331), and the temperament which characterizes this scale, are called '''"screamapillar"''', though this name is heavily disliked. Screamapillar is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, screamapillar is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.

	Screamapillar can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar (specifically, the Springfieldian mode). Screamapillar is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.		Screamapillar can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar (specifically, the Springfieldian mode). Screamapillar is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.

	Screamapillar is named by analogy with [[Scorp\|scorp]] (as both are arthropod creatures starting with "sc"), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.		Screamapillar is named by analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.

	The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.		The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.

	~~[[file:screamapillar.gif\|right]]~~

	Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.		Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.

Sintel: Idiosyncratic

2025-03-06T14:52:56Z

Idiosyncratic

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			{{Idiosyncratic terms}}

	'''Screamapillar''' is a 7-note MODMOS in [[17edo\|17edo]] (or its close cousins like [[27edt\|27edt]] or [[44ed6\|44ed6]]), or the temperament which characterizes this scale. Screamapillar has three different step sizes and is described as a LLmmLLs scale (i. e., 3322331). As such, it is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, screamapillar is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.		'''Screamapillar''' is a 7-note MODMOS in [[17edo\|17edo]] (or its close cousins like [[27edt\|27edt]] or [[44ed6\|44ed6]]), or the temperament which characterizes this scale. Screamapillar has three different step sizes and is described as a LLmmLLs scale (i. e., 3322331). As such, it is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, screamapillar is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.

Spt3125: external image replaced with local copy

2018-09-22T02:18:08Z

external image replaced with local copy

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	The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.		The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.

	~~<div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left~~: 0.~~5em; padding-~~right~~:0.5em; display:inline-block'>~~		[[file:screamapillar.gif\|right]]
	~~External image: http://38.media.tumblr.com/7826da01fcce799fc36142847120597e/tumblr_mhg2qvcEiY1qe9qrbo4_250.gif<br>~~
	~~: <small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br>~~
	~~: <small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small>~~
	~~</div>~~
	~~[[Category:IMPORTDEBUG - Change External Images~~]]

	Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.		Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.

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	{{Idiosyncratic terms}}		{{Idiosyncratic terms}}

	'''~~Screamapillar''' or '''trachytonic~~''' is the 7-note MODMOS LLmmLLs. It is usually tuned in 17edo (that is, 3322331). It is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, it is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.		'''Trachytonic''' is the 7-note MODMOS LLmmLLs. It is usually tuned in 17edo (that is, 3322331). It is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, it is notable for being [[Rothenberg_propriety\|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.

	The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get ~~screamapillar~~. ~~Screamapillar~~ is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.		The scale can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get trachytonic. trachytonic is also one modification away from the [[Mohajira\|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [http://www.maqamworld.com/maqamat/bayati.html bayati] maqam.

	The name "screamapillar" comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.		The scale has an alternative name by Mason Green, "'''screamapillar'''", which comes from an analogy with [[Scorp\|scorp]] (as both names are related to arthropod creatures starting with "sc", which in this case is a reference to a character from the Simpsons TV show), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is "screaming"'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.

	The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates~~. Also, the ''[https://en.wikipedia.org/wiki/The_Simpsons_Theme Simpsons theme]'' uses a scale which, although not exactly screamapillar, does contain a sharpened fourth~~. The name "trachytonic" comes from the Greek "τρᾱχῠ́ς", meaning "rough".		The sharpened fourth could also be called a "red note" (opposite of a blue note) due to the mood it creates. The name "trachytonic" comes from the Greek "τρᾱχῠ́ς", meaning "rough".

	Because ~~screamapillar~~ is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.		Because trachytonic is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.

	~~Screamapillar~~ contains five types of tertian (root-third-fifth) triads. These include 2 supermajor, 2 subminor, 1 neutral, 1 neutral-diminished, and 1 subminor-diminished. Of these, the neutral triad is harmonically somewhat rough and so it might be a good idea to modify it, fortunately, there are several options for doing this, such as changing it to a sus2, sus4, or even sus4add2. On the other hand, the neutral-diminished triad is actually very nice sounding since it very closely approximates 9:11:13, and its fifth is still clearly a fifth (albeit a narrow one) rather than being ambiguous like the 12edo tritone.		Trachytonic contains five types of tertian (root-third-fifth) triads. These include 2 supermajor, 2 subminor, 1 neutral, 1 neutral-diminished, and 1 subminor-diminished. Of these, the neutral triad is harmonically somewhat rough and so it might be a good idea to modify it, fortunately, there are several options for doing this, such as changing it to a sus2, sus4, or even sus4add2. On the other hand, the neutral-diminished triad is actually very nice sounding since it very closely approximates 9:11:13, and its fifth is still clearly a fifth (albeit a narrow one) rather than being ambiguous like the 12edo tritone.

	The subminor and supermajor chords can be harmonically stabilized by adding, respectively, the 4th [https://en.wikipedia.org/wiki/Mu_chord or the 2nd]. This especially makes a difference in the latter case because supermajor triads sound somewhat unstable on their own.		The subminor and supermajor chords can be harmonically stabilized by adding, respectively, the 4th [https://en.wikipedia.org/wiki/Mu_chord or the 2nd]. This especially makes a difference in the latter case because supermajor triads sound somewhat unstable on their own.

	Other high-limit chords and tone clusters can also be realized in ~~screamapillar~~, including the approximations of 8:9:11:12 (which is like a sus chord but with more tension) and 12:13:14:16:18.		Other high-limit chords and tone clusters can also be realized in trachytonic, including the approximations of 8:9:11:12 (which is like a sus chord but with more tension) and 12:13:14:16:18.

	The modes of ~~screamapillar~~ are as follows:		The modes of trachytonic are as follows:
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
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	=<span style="line-height: 1.5;">As a temperament</span>=		=<span style="line-height: 1.5;">As a temperament</span>=

	<span style="line-height: 1.5;">~~What is the temperament that provides the harmonic equivalencies featured in the screamapillar scale?~~ Quite a few commas are tempered out including 64:63, 78:77, 99:98, 144:143, 243:242, etc.</span>		<span style="line-height: 1.5;">Quite a few commas are tempered out including 64:63, 78:77, 99:98, 144:143, 243:242, etc. in the temperament that provides the harmonic equivalencies featured in the trachytonic scale.</span>

	While 17edo itself is an excellent choice for such a temperament, there are other options, notably [[61edo\|61edo]], whose version of the ~~screamapillar~~ scale has step pattern 11 11 7 7 11 11 3. [[78edo\|78edo]] works as well (with step pattern 14 14 9 9 14 14 4); both of these improve the 7th and 13th harmonics at the expense of<span style="line-height: 1.5;"> the 3rd and 11th.</span>		While 17edo itself is an excellent choice for such a temperament, there are other options, notably [[61edo\|61edo]], whose version of the trachytonic scale has step pattern 11 11 7 7 11 11 3. [[78edo\|78edo]] works as well (with step pattern 14 14 9 9 14 14 4); both of these improve the 7th and 13th harmonics at the expense of<span style="line-height: 1.5;"> the 3rd and 11th.</span>

	Other options include [[44edo\|44edo]] and [[27edo\|27edo]], although the latter is a borderline case because it doesn't have a very good 11 (it maps 11:8 to 577.78 cents).		Other options include [[44edo\|44edo]] and [[27edo\|27edo]], although the latter is a borderline case because it doesn't have a very good 11 (it maps 11:8 to 577.78 cents).