Survey of efficient temperaments by subgroup: Difference between revisions
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Streamlined some links, added a notes section. Did not remove any temperaments, any decrease in number of characters is just due to links being shortened by new redirects being made. |
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Subgroups with no 2s, e.g. 3.5.7.11, are the most jarring break away from familiar harmony, which one may consider a good or a bad thing. | Subgroups with no 2s, e.g. 3.5.7.11, are the most jarring break away from familiar harmony, which one may consider a good or a bad thing. | ||
Subgroups with 2s and 3s but no 5s, e.g. 2.3.7.11, preserve the most fundamental familiar intervals like the octave and the fifth, but do away with the 5-limit major and minor intervals of common practice harmony* | Subgroups with 2s and 3s but no 5s, e.g. 2.3.7.11, preserve the most fundamental familiar intervals like the octave and the fifth, but do away with the 5-limit major and minor intervals of common practice harmony*<ref>''*According to the 2.3.5 reading of common practice harmony. Alternate readings are possible.''</ref>, forcing innovation while still keeping some familiarity. | ||
Some theorists believe including 13, 17 or higher in a subgroup is pointless because the brain can't register such complex intervals. Others believe these intervals are registered by the brain, perhaps subtly and subconsciously in some instances, but still there. | Some theorists believe including 13, 17 or higher in a subgroup is pointless because the brain can't register such complex intervals. Others believe these intervals are registered by the brain, perhaps subtly and subconsciously in some instances, but still there. | ||
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| [[porkypine]], [[mavila]], [[dicot]] | | [[porkypine]], [[mavila]], [[dicot]] | ||
| [[tetracot]], [[mohaha]] | | [[tetracot]], [[mohaha]] | ||
| [[larry]] (2.3.5.11 gravity), [[countdown]], | | [[larry]] (2.3.5.11 gravity), [[countdown]], no-7 [[catalan]] | ||
| [[escapade]] | | [[escapade]] | ||
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| [[bleu]], [[supra]] | | [[bleu]], [[supra]] | ||
| [[skwares]], [[suhajira]] | | [[skwares]], [[suhajira]] | ||
| no-5 [[miracle]], [[radon]] | | no-5 [[miracle]], [[radon]]/no-5 [[hemififths]]<ref>Hemif beats radon in 2.3.7.11, radon beats hemif in 2.3.7.11.13 (in damage not badness).</ref> | ||
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! 2 . 7 <br>and its extensions | ! 2 . 7 <br>and its extensions | ||
| [[orgone]], [[shipwreck]], [[stacks]], [[ultrakleismic]], [[machine]] | | [[orgone]], [[shipwreck]], [[stacks]], [[ultrakleismic]], [[machine]] | ||
| [[counterultrakleismic]], [[ | | [[counterultrakleismic]], [[mechanism]], [[mabon]] | ||
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| [[machine|apparatus]] | | [[machine|apparatus]] | ||
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| [[alnilam]], [[ | | [[alnilam]], [[fomalhaut]] | ||
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! 3 . 7 <br>and its extensions | ! 3 . 7 <br>and its extensions | ||
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! 4 . n <br>and its extensions | ! 4 . n <br>and its extensions | ||
| [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[quarchy]], [[ | | [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[quarchy]], [[tetrominant]] | ||
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| [[fourwar]] | | [[fourwar]] | ||
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| [[ | | [[srutaloo]], [[shrutar]] | ||
| [[satin]], [[trinity]], [[sqrtphi]]+, [[gizzard]]+, [[ketchup]], [[semisept]], [[ | | [[satin]], [[trinity]], [[sqrtphi]]+, [[gizzard]]+, [[ketchup]], [[semisept]], [[cassandric]] | ||
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! 2 . 3 . 5 . 7 . other n | ! 2 . 3 . 5 . 7 . other n | ||
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! 2 . 3 . 5 . 11 <br>and its extensions | ! 2 . 3 . 5 . 11 <br>and its extensions | ||
| [[sensible]] | | [[sensible]] | ||
| [[twentcufo]], no-7 [[emka]], | | [[twentcufo]], no-7 [[emka]], no-7 [[cataclysmic]], no-7 [[sfourth]] | ||
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* [[Equal-step tuning]]s (i.e. rank-1 temperaments) | * [[Equal-step tuning]]s (i.e. rank-1 temperaments) | ||
* A deprecated, archived in-development version of this page: [[User:BudjarnLambeth/Bird’s eye view of rank-2 temperaments]] | * A deprecated, archived in-development version of this page: [[User:BudjarnLambeth/Bird’s eye view of rank-2 temperaments]] | ||
== Notes == | |||
[[Category:Tables]] | [[Category:Tables]] | ||