User:CritDeathX/Sam's Musings: Difference between revisions

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Halthird temperament is the name I give to my first half-octave temperament. It has a generator of a slightly sharp 7/6, and a limit of 2.3.5.7.9.11.

Using a [http://www.microtonalsoftware.com/scale-tree.html?left=7&right=9&rr=600&ioi=264.29 scale tree], you can find EDOs that have this generator, starting with [[7edo|7]] & [[~~9edo~~|~~9EDO~~]]. There's a zigzag pattern starting with [[25edo|25]] and [[~~34edo~~|~~34EDO~~]], though if you want a zigzag from the starting point, there's one between 9 & ~~25EDO~~.

Using a [http://www.microtonalsoftware.com/scale-tree.html?left=7&right=11&rr=600&ioi=264.292863 scale tree], you can find EDOs that have this generator, starting with [[7edo|7]] & [[11edo|11EDO]]. There's a zigzag pattern starting with [[25edo|25]] and [[68edo|68EDO]], though if you want a zigzag from the starting point, there's one between 7 & [[18edo|18EDO]].

I also don't really know how to properly make MOS scales in this, so there will be no MOS scale diagrams here.

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[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(279.944474%2C%20600.0)&data=239.833422%0A279.944474%0A519.777896%0A559.888948%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 2L3s]

[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(~~279~~.~~944474~~%2C%20600.0)&data=~~199~~.~~722370~~%~~0A239~~.~~833422~~%~~0A279~~.~~944474~~%~~0A479~~.~~666844~~%~~0A519~~.~~777896~~%~~0A559~~.~~888948~~%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ ~~2L5s~~]

[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(264.292863%2C%20600.0)&data=121.464315%0A192.878589%0A264.292863%0A385.757178%0A457.171452%0A528.585726%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 3L4s]

[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(~~279~~.~~944474~~%2C%20600.0)&data=~~159~~.~~611318~~%~~0A199~~.~~722370~~%~~0A239~~.~~833422~~%~~0A279~~.~~944474~~%~~0A439~~.~~555792~~%~~0A479~~.~~666844~~%~~0A519~~.~~777896~~%~~0A559~~.~~888948~~%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ ~~2L7s~~]

[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(264.292863%2C%20600.0)&data=50.050041%0A121.464315%0A192.878589%0A264.292863%0A314.342904%0A385.757178%0A457.171452%0A528.585726%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 7L2s]

@@ Line 434: / Line 434: @@
 Halthird temperament is the name I give to my first half-octave temperament. It has a generator of a slightly sharp 7/6, and a limit of 2.3.5.7.9.11.
-Using a [http://www.microtonalsoftware.com/scale-tree.html?left=7&right=9&rr=600&ioi=264.29 scale tree], you can find EDOs that have this generator, starting with [[7edo|7]] & [[9edo|9EDO]]. There's a zigzag pattern starting with [[25edo|25]] and [[34edo|34EDO]], though if you want a zigzag from the starting point, there's one between 9 & 25EDO.
+Using a [http://www.microtonalsoftware.com/scale-tree.html?left=7&right=11&rr=600&ioi=264.292863 scale tree], you can find EDOs that have this generator, starting with [[7edo|7]] & [[11edo|11EDO]]. There's a zigzag pattern starting with [[25edo|25]] and [[68edo|68EDO]], though if you want a zigzag from the starting point, there's one between 7 & [[18edo|18EDO]].
 I also don't really know how to properly make MOS scales in this, so there will be no MOS scale diagrams here.
@@ Line 508: / Line 508: @@
 [https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(279.944474%2C%20600.0)&data=239.833422%0A279.944474%0A519.777896%0A559.888948%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 2L3s]
-[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(279.944474%2C%20600.0)&data=199.722370%0A239.833422%0A279.944474%0A479.666844%0A519.777896%0A559.888948%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 2L5s]
+[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(264.292863%2C%20600.0)&data=121.464315%0A192.878589%0A264.292863%0A385.757178%0A457.171452%0A528.585726%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 3L4s]
-[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(279.944474%2C%20600.0)&data=159.611318%0A199.722370%0A239.833422%0A279.944474%0A439.555792%0A479.666844%0A519.777896%0A559.888948%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 2L7s]
+[https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(264.292863%2C%20600.0)&data=50.050041%0A121.464315%0A192.878589%0A264.292863%0A314.342904%0A385.757178%0A457.171452%0A528.585726%0A600.000000&freq=261.625565&midi=60&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ 7L2s]