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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.
CellularAutomaton (talk | contribs)
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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>=
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