7L 3s: Difference between revisions
Wikispaces>FREEZE No edit summary |
PreImportHandFixes>Battaglia01 Mike - added jpg extension to imported image |
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| | 3\10 | | | 3\10 | ||
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| | 360 | | | 360 | ||
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| | 17\57 | | | 17\57 | ||
| | 357.895 | | | 357.895 | ||
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| | 357.45 | | | 357.45 | ||
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| | 11\37 | | | 11\37 | ||
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| | 356.76 | | | 356.76 | ||
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| | 8\27 | | | 8\27 | ||
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| | 355.56 | | | 355.56 | ||
| style="text-align:center;" | Optimum rank range (L/s=3/2) | | style="text-align:center;" | Optimum rank range (L/s=3/2) | ||
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| | 355.11 | | | 355.11 | ||
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| | 21\71 | | | 21\71 | ||
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| | 354.93 | | | 354.93 | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
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| | 34\115 | | | 34\115 | ||
| | 354.78 | | | 354.78 | ||
| style="text-align:center;" | Golden neutral thirds | | style="text-align:center;" | Golden neutral thirds | ||
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| | 13\44 | | | 13\44 | ||
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| | 354.55 | | | 354.55 | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
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| | 354.19 | | | 354.19 | ||
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| | 5\17 | | | 5\17 | ||
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| | 352.94 | | | 352.94 | ||
| style="text-align:center;" | Boundary of propriety: generators larger than this are proper | | style="text-align:center;" | Boundary of propriety: generators larger than this are proper | ||
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| | 12\41 | | | 12\41 | ||
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| | 351.22 | | | 351.22 | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
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| | 31\106 | | | 31\106 | ||
| | 350.94 | | | 350.94 | ||
| style="text-align:center;" | No-5's neutral thirds (observing 81/80) is around here | | style="text-align:center;" | No-5's neutral thirds (observing 81/80) is around here | ||
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| | 19\65 | | | 19\65 | ||
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| | 350.77 | | | 350.77 | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
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| | 350.64 | | | 350.64 | ||
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span> | | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span> | ||
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| | 7\24 | | | 7\24 | ||
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| | 350 | | | 350 | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
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| | 349.72 | | | 349.72 | ||
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span> | | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span> | ||
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| | 16\55 | | | 16\55 | ||
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| | 349.09 | | | 349.09 | ||
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| | 9\31 | | | 9\31 | ||
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| | 348.39 | | | 348.39 | ||
| style="text-align:center;" | Mohajira (tempering out 81/80) is around here | | style="text-align:center;" | Mohajira (tempering out 81/80) is around here | ||
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| | 11\38 | | | 11\38 | ||
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| | 347.37 | | | 347.37 | ||
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| | 13\45 | | | 13\45 | ||
| | 346.67 | | | 346.67 | ||
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| | 2\7 | | | 2\7 | ||
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| | 342.86 | | | 342.86 | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
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Due to the frequency of perfect fourths and fifths in this scale, it can also be analyzed as a [[tetrachord|tetrachordal scale]]. The perfect fourth can be traversed by 3 t's and a q, or 2 t's and a T. | Due to the frequency of perfect fourths and fifths in this scale, it can also be analyzed as a [[tetrachord|tetrachordal scale]]. The perfect fourth can be traversed by 3 t's and a q, or 2 t's and a T. | ||
I ( | I ([[File:external-6855b5f4f272812f2538853afd1c4157-withext.jpg|16px]] - [http://www.wikispaces.com/user/view/Andrew_Heathwaite Andrew Heathwaite]) offer "a" to refer to a step of 2t (for "augmented second") | ||
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Thus, the possible tetrachords are: | Thus, the possible tetrachords are: |