MOS naming
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=MOS naming scheme= The simplest and most straightforward way to refer to MOS scales is by using the format #L#s, directly specifying the number of large steps (#L) and the number of small steps (#s). This is also probably the most commonly-used format that does not reference the names of regular temperaments. For those who desire more "colorful" names, Graham Breed has proposed the following scheme. ==Names for sub-MOS== 1L 1s Trivial MOS 1L 2s Happy triad 2L 1s Grumpy triad 1L 3s Happy tetrad [[2L 2s]] bi-equal tetrad 3L 1s Grumpy <span style="line-height: 1.5;">tetrad</span> ==Names for MOS with number of elements from 5 to 10, as proposed by Graham Breed== The logic behind new names is as follows: Happy and Grumpy are remnants of the [[DwarfNamingScheme|dwarf scheme]]. A good proportion of the shapes fit this pattern, so it's worth having a word for it. Biggie is a contraction of "bi-grumpy". Rice is named after Rice Kagona. Bicycle is a contraction of "bi-classical". This family is like the usual fifth-generated one, but half the size. Mosh is a contraction of "mohajiraish". Mish is related to mosh. Father is a temperament name. I think the etymology is a pun on "fourths/thirds" and as such names a shape. Bug is another temperament name, from the draft of the first part of Paul's forthcoming magnum opus. If it's too specific to apply to this family, I suggest "bogey" instead. "Bi-equal" means the scale is made from two EDOs. There may be a better name for these. They become more important whan you look at complicated temperaments. I'm using "fair" and "unfair" to distinguish the large from the small. All the names uniquely specify a shape, and if the number of notes doesn't need to be part of the name it isn't. That doesn't mean you'd leave them this terse in practice. [[1L 4s]] Happy pentatonic [[2L 3s]] classic pentatonic [[3L 2s]] father (sometimes also called: anti-pentatonic) [[4L 1s]] bug [[1L 5s]] Happy hexatonic [[2L 4s]] Rice hexatonic [[3L 3s]] augmented [[4L 2s]] bicycle [[5L 1s]] Grumpy hexatonic [[1L 6s]] Happy heptatonic [[2L 5s]] mavila (other common name: anti-diatonic) [[3L 4s]] mosh [[4L 3s]] mish [[5L 2s]] diatonic [[6L 1s]] Grumpy heptatonic [[1L 7s]] Happy octatonic [[2L 6s]] Rice octatonic [[3L 5s]] fair father [[4L 4s]] diminished [[5L 3s]] unfair father [[6L 2s]] Biggie octatonic [[7L 1s]] Grumpy octatonic [[1L 8s]] Happy nonatonic [[2L 7s]] fair mavila [[3L 6s]] fair augmented [[4L 5s]] fair bug [[5L 4s]] unfair bug [[6L 3s]] unfair augmented [[7L 2s]] unfair mavila [[8L 1s]] Grumpy nonatonic [[1L 9s]] Happy decatonic [[2L 8s]] Rice decatonic [[3L 7s]] fair mosh [[4L 6s]] fair bicycle [[5L 5s]] bi-equal decatonic [[6L 4s]] unfair bicycle [[7L 3s]] unfair mosh [[8L 2s]] Biggie decatonic [[9L 1s]] Grumpy decatonic ==Some names of higher-numbered ones== [[8L 3s]] Sensi[11] [[6L 5s]] Machine[11] [[4L 7s]] Keemun[11] [[10L 2s]] Pajara[12] [[9L 3s]] August[12] [[7L 5s]] Meantone[12] [[6L 6s]] Hexe[12] [[5L 7s]] Superpyth[12] [[4L 8s]] Diminished[12] [[3L 9s]] Augene[12] [[2L 10s]] Injera[12] [[12L 2s]] Injera[14] [[5L 9s]] Godzilla[14] [[4L 10s]] Doublewide[14] [[11L 4s]] Superkleismic[15] [[10L 5s]] Blacksmith[15] [[8L 7s]] Opossum[15] [[7L 8s]] Porcupine[15] [[4L 11s]] Myna[15] [[1L 14s]] Valentine[15] [[6L 10s]] Wizard[16] [[5L 11s]] Mothra[16] [[14L 3s]] Squares[17] [[12L 5s]] Garibaldi[17] [[10L 7s]] Beatles[17] [[7L 10s]] Mohajira[17] [[16L 3s]] Muggles[19] [[12L 7s]] Meantone [19] [[10L 9s]] Negri[19] [[8L 11s]] Sensi[19] [[7L 12s]] Flattone[19] [[6L 13s]] Hemiwuerschmidt[19] [[4L 15s]] Myna[19] [[3L 16s]] Magic[19] [[2L 17s]] Tritonic[19] [[3L 17s]] Roman[20] [[10L 11s]] Miracle[21] [[5L 16s]] Rodan[21] [[2L 19s]] Tritonic[21] [[19L 3s]] Magic[22] [[12L 10s]] Diaschismic[22] [[9L 13s]] Orwell[22] [[7L 15s]] Coendou[22] [[6L 16s]] Wizard[22] [[2L 20s]] Shrutar[22] [[15L 8s]] Hemikleismic[23] [[13L 10s]] Unidec[23] [[3L 20s]] Roman[23] [[7L 17s]] Mohajira[24] [[6L 19s]] Luna[25] [[18L 9s]] Ennealimmal[27] [[14L 13s]] Octacot[27] [[17L 12s]] Leapday[29], Grackle[29] [[12L 17s]] Garibaldi[29]
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<html><head><title>MOSNamingScheme</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="MOS naming scheme"></a><!-- ws:end:WikiTextHeadingRule:0 -->MOS naming scheme</h1> <br /> The simplest and most straightforward way to refer to MOS scales is by using the format #L#s, directly specifying the number of large steps (#L) and the number of small steps (#s). This is also probably the most commonly-used format that does not reference the names of regular temperaments. For those who desire more "colorful" names, Graham Breed has proposed the following scheme.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="MOS naming scheme-Names for sub-MOS"></a><!-- ws:end:WikiTextHeadingRule:2 -->Names for sub-MOS</h2> <br /> 1L 1s Trivial MOS<br /> 1L 2s Happy triad<br /> 2L 1s Grumpy triad<br /> <br /> 1L 3s Happy tetrad<br /> <a class="wiki_link" href="/2L%202s">2L 2s</a> bi-equal tetrad<br /> 3L 1s Grumpy <span style="line-height: 1.5;">tetrad</span><br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="MOS naming scheme-Names for MOS with number of elements from 5 to 10, as proposed by Graham Breed"></a><!-- ws:end:WikiTextHeadingRule:4 -->Names for MOS with number of elements from 5 to 10, as proposed by Graham Breed</h2> The logic behind new names is as follows:<br /> <br /> Happy and Grumpy are remnants of the <a class="wiki_link" href="/DwarfNamingScheme">dwarf scheme</a>. A good proportion of the shapes fit this pattern, so it's worth having a word for it.<br /> Biggie is a contraction of "bi-grumpy". Rice is named after Rice Kagona.<br /> Bicycle is a contraction of "bi-classical". This family is like the usual fifth-generated one, but half the size.<br /> Mosh is a contraction of "mohajiraish". Mish is related to mosh.<br /> Father is a temperament name. I think the etymology is a pun on "fourths/thirds" and as such names a shape.<br /> Bug is another temperament name, from the draft of the first part of Paul's forthcoming magnum opus. If it's too specific to apply to this family, I suggest "bogey" instead.<br /> "Bi-equal" means the scale is made from two EDOs. There may be a better name for these. They become more important whan you look at complicated temperaments.<br /> I'm using "fair" and "unfair" to distinguish the large from the small.<br /> All the names uniquely specify a shape, and if the number of notes doesn't need to be part of the name it isn't. That doesn't mean you'd leave them this terse in practice.<br /> <br /> <a class="wiki_link" href="/1L%204s">1L 4s</a> Happy pentatonic<br /> <a class="wiki_link" href="/2L%203s">2L 3s</a> classic pentatonic<br /> <a class="wiki_link" href="/3L%202s">3L 2s</a> father (sometimes also called: anti-pentatonic)<br /> <a class="wiki_link" href="/4L%201s">4L 1s</a> bug<br /> <br /> <a class="wiki_link" href="/1L%205s">1L 5s</a> Happy hexatonic<br /> <a class="wiki_link" href="/2L%204s">2L 4s</a> Rice hexatonic<br /> <a class="wiki_link" href="/3L%203s">3L 3s</a> augmented<br /> <a class="wiki_link" href="/4L%202s">4L 2s</a> bicycle<br /> <a class="wiki_link" href="/5L%201s">5L 1s</a> Grumpy hexatonic<br /> <br /> <a class="wiki_link" href="/1L%206s">1L 6s</a> Happy heptatonic<br /> <a class="wiki_link" href="/2L%205s">2L 5s</a> mavila (other common name: anti-diatonic)<br /> <a class="wiki_link" href="/3L%204s">3L 4s</a> mosh<br /> <a class="wiki_link" href="/4L%203s">4L 3s</a> mish<br /> <a class="wiki_link" href="/5L%202s">5L 2s</a> diatonic<br /> <a class="wiki_link" href="/6L%201s">6L 1s</a> Grumpy heptatonic<br /> <br /> <a class="wiki_link" href="/1L%207s">1L 7s</a> Happy octatonic<br /> <a class="wiki_link" href="/2L%206s">2L 6s</a> Rice octatonic<br /> <a class="wiki_link" href="/3L%205s">3L 5s</a> fair father<br /> <a class="wiki_link" href="/4L%204s">4L 4s</a> diminished<br /> <a class="wiki_link" href="/5L%203s">5L 3s</a> unfair father<br /> <a class="wiki_link" href="/6L%202s">6L 2s</a> Biggie octatonic<br /> <a class="wiki_link" href="/7L%201s">7L 1s</a> Grumpy octatonic<br /> <br /> <a class="wiki_link" href="/1L%208s">1L 8s</a> Happy nonatonic<br /> <a class="wiki_link" href="/2L%207s">2L 7s</a> fair mavila<br /> <a class="wiki_link" href="/3L%206s">3L 6s</a> fair augmented<br /> <a class="wiki_link" href="/4L%205s">4L 5s</a> fair bug<br /> <a class="wiki_link" href="/5L%204s">5L 4s</a> unfair bug<br /> <a class="wiki_link" href="/6L%203s">6L 3s</a> unfair augmented<br /> <a class="wiki_link" href="/7L%202s">7L 2s</a> unfair mavila<br /> <a class="wiki_link" href="/8L%201s">8L 1s</a> Grumpy nonatonic<br /> <br /> <a class="wiki_link" href="/1L%209s">1L 9s</a> Happy decatonic<br /> <a class="wiki_link" href="/2L%208s">2L 8s</a> Rice decatonic<br /> <a class="wiki_link" href="/3L%207s">3L 7s</a> fair mosh<br /> <a class="wiki_link" href="/4L%206s">4L 6s</a> fair bicycle<br /> <a class="wiki_link" href="/5L%205s">5L 5s</a> bi-equal decatonic<br /> <a class="wiki_link" href="/6L%204s">6L 4s</a> unfair bicycle<br /> <a class="wiki_link" href="/7L%203s">7L 3s</a> unfair mosh<br /> <a class="wiki_link" href="/8L%202s">8L 2s</a> Biggie decatonic<br /> <a class="wiki_link" href="/9L%201s">9L 1s</a> Grumpy decatonic<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="MOS naming scheme-Some names of higher-numbered ones"></a><!-- ws:end:WikiTextHeadingRule:6 -->Some names of higher-numbered ones</h2> <br /> <a class="wiki_link" href="/8L%203s">8L 3s</a> Sensi[11]<br /> <a class="wiki_link" href="/6L%205s">6L 5s</a> Machine[11]<br /> <a class="wiki_link" href="/4L%207s">4L 7s</a> Keemun[11]<br /> <br /> <br /> <a class="wiki_link" href="/10L%202s">10L 2s</a> Pajara[12]<br /> <a class="wiki_link" href="/9L%203s">9L 3s</a> August[12]<br /> <a class="wiki_link" href="/7L%205s">7L 5s</a> Meantone[12]<br /> <a class="wiki_link" href="/6L%206s">6L 6s</a> Hexe[12]<br /> <a class="wiki_link" href="/5L%207s">5L 7s</a> Superpyth[12]<br /> <a class="wiki_link" href="/4L%208s">4L 8s</a> Diminished[12]<br /> <a class="wiki_link" href="/3L%209s">3L 9s</a> Augene[12]<br /> <a class="wiki_link" href="/2L%2010s">2L 10s</a> Injera[12]<br /> <br /> <br /> <a class="wiki_link" href="/12L%202s">12L 2s</a> Injera[14]<br /> <a class="wiki_link" href="/5L%209s">5L 9s</a> Godzilla[14]<br /> <a class="wiki_link" href="/4L%2010s">4L 10s</a> Doublewide[14]<br /> <br /> <a class="wiki_link" href="/11L%204s">11L 4s</a> Superkleismic[15]<br /> <a class="wiki_link" href="/10L%205s">10L 5s</a> Blacksmith[15]<br /> <a class="wiki_link" href="/8L%207s">8L 7s</a> Opossum[15]<br /> <a class="wiki_link" href="/7L%208s">7L 8s</a> Porcupine[15]<br /> <a class="wiki_link" href="/4L%2011s">4L 11s</a> Myna[15]<br /> <a class="wiki_link" href="/1L%2014s">1L 14s</a> Valentine[15]<br /> <br /> <a class="wiki_link" href="/6L%2010s">6L 10s</a> Wizard[16]<br /> <a class="wiki_link" href="/5L%2011s">5L 11s</a> Mothra[16]<br /> <br /> <a class="wiki_link" href="/14L%203s">14L 3s</a> Squares[17]<br /> <a class="wiki_link" href="/12L%205s">12L 5s</a> Garibaldi[17]<br /> <a class="wiki_link" href="/10L%207s">10L 7s</a> Beatles[17]<br /> <a class="wiki_link" href="/7L%2010s">7L 10s</a> Mohajira[17]<br /> <br /> <a class="wiki_link" href="/16L%203s">16L 3s</a> Muggles[19]<br /> <a class="wiki_link" href="/12L%207s">12L 7s</a> Meantone [19]<br /> <a class="wiki_link" href="/10L%209s">10L 9s</a> Negri[19]<br /> <a class="wiki_link" href="/8L%2011s">8L 11s</a> Sensi[19]<br /> <a class="wiki_link" href="/7L%2012s">7L 12s</a> Flattone[19]<br /> <a class="wiki_link" href="/6L%2013s">6L 13s</a> Hemiwuerschmidt[19]<br /> <a class="wiki_link" href="/4L%2015s">4L 15s</a> Myna[19]<br /> <a class="wiki_link" href="/3L%2016s">3L 16s</a> Magic[19]<br /> <a class="wiki_link" href="/2L%2017s">2L 17s</a> Tritonic[19]<br /> <br /> <br /> <a class="wiki_link" href="/3L%2017s">3L 17s</a> Roman[20]<br /> <br /> <a class="wiki_link" href="/10L%2011s">10L 11s</a> Miracle[21]<br /> <a class="wiki_link" href="/5L%2016s">5L 16s</a> Rodan[21]<br /> <a class="wiki_link" href="/2L%2019s">2L 19s</a> Tritonic[21]<br /> <br /> <br /> <a class="wiki_link" href="/19L%203s">19L 3s</a> Magic[22]<br /> <a class="wiki_link" href="/12L%2010s">12L 10s</a> Diaschismic[22]<br /> <a class="wiki_link" href="/9L%2013s">9L 13s</a> Orwell[22]<br /> <a class="wiki_link" href="/7L%2015s">7L 15s</a> Coendou[22]<br /> <a class="wiki_link" href="/6L%2016s">6L 16s</a> Wizard[22]<br /> <a class="wiki_link" href="/2L%2020s">2L 20s</a> Shrutar[22]<br /> <br /> <br /> <a class="wiki_link" href="/15L%208s">15L 8s</a> Hemikleismic[23]<br /> <a class="wiki_link" href="/13L%2010s">13L 10s</a> Unidec[23]<br /> <a class="wiki_link" href="/3L%2020s">3L 20s</a> Roman[23]<br /> <br /> <a class="wiki_link" href="/7L%2017s">7L 17s</a> Mohajira[24]<br /> <br /> <a class="wiki_link" href="/6L%2019s">6L 19s</a> Luna[25]<br /> <br /> <a class="wiki_link" href="/18L%209s">18L 9s</a> Ennealimmal[27]<br /> <a class="wiki_link" href="/14L%2013s">14L 13s</a> Octacot[27]<br /> <br /> <a class="wiki_link" href="/17L%2012s">17L 12s</a> Leapday[29], Grackle[29]<br /> <a class="wiki_link" href="/12L%2017s">12L 17s</a> Garibaldi[29]</body></html>