Trachytonic: Difference between revisions

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]] (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.

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.

[[image:http://38.media.tumblr.com/7826da01fcce799fc36142847120597e/tumblr_mhg2qvcEiY1qe9qrbo4_250.gif]]

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.

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.

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.

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

**Springfieldian**: Modified Ionian (major). 3 3 2 2 3 3 1

**Swartzwelderean****:** Modified Dorian. 3 2 2 3 3 1 3

**Capitalcitian:** Modified Phrygian: 2 2 3 3 1 3 3

 

 

 

 

 

 

 

 

 

Other options include [[44edo]] and [[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).</pre></div>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Screamapillar&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Screamapillar&lt;/strong&gt; is a 7-note MODMOS in &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt; (or its close cousins like &lt;a class="wiki_link" href="/27edt"&gt;27edt&lt;/a&gt; or &lt;a class="wiki_link" href="/44ed6"&gt;44ed6&lt;/a&gt;), 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 &lt;a class="wiki_link" href="/Rothenberg%20propriety"&gt;strictly proper&lt;/a&gt;, whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.&lt;br /&gt;

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 &lt;a class="wiki_link" href="/Mohajira"&gt;rast&lt;/a&gt; scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the &lt;a class="wiki_link_ext" href="http://www.maqamworld.com/maqamat/bayati.html" rel="nofollow"&gt;bayati&lt;/a&gt; maqam.&lt;br /&gt;

Screamapillar is named by analogy with &lt;a class="wiki_link" href="/scorp"&gt;scorp&lt;/a&gt; (as both are arthropod creatures starting with &amp;quot;sc&amp;quot;), and also because the major fourth of 17edo (which functions as 11:8, among others) has a very bright sound as though it is &amp;quot;screaming&amp;quot;'; ambulance sirens often use similar intervals. Timbres where the eleventh harmonic is strong tend to take on a similar character.&lt;br /&gt;