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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | __FORCETOC__ |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | <span style="display: block; text-align: right;">[[:de:Sensi Deutsch]]</span> |
| : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2016-04-27 05:14:13 UTC</tt>.<br>
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| : The original revision id was <tt>581351073</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | |
| <span style="display: block; text-align: right;">[[xenharmonie/Sensi|Deutsch]]
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| </span>
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| =Sensipent=
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| [[Comma]]: 78732/78125 = |2 9 -7>
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| [[POTE tuning|POTE generator]]: 162/125 = 443.058 cents | | =Sensipent= |
| | [[Comma|Comma]]: 78732/78125 = |2 9 -7> |
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| [[Map]]: [<1 6 8|, <0 -7 -9|] | | [[POTE_tuning|POTE generator]]: 162/125 = 443.058 cents |
| [[EDO]]s: [[8edo|8]], [[19edo|19]], [[46edo|46]], [[65edo|65]], [[539edo|539]], [[604edo|604c]], [[669edo|669c]], [[734edo|734c]], [[799edo|799c]], [[864edo|864c]], [[929edo|929c]]
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| | [[Map|Map]]: [<1 6 8|, <0 -7 -9|] |
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| =Sensi= | | [[EDO|EDO]]s: [[8edo|8]], [[19edo|19]], [[46edo|46]], [[65edo|65]], [[539edo|539]], [[604edo|604c]], [[669edo|669c]], [[734edo|734c]], [[799edo|799c]], [[864edo|864c]], [[929edo|929c]] |
| Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&27 temperament. It has as a generator half the size of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as [[13-limit]] sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. [[46edo]] is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available. The name "sensi" is a play on the words "semi-" and "sixth." | | |
| | =Sensi= |
| | Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&27 temperament. It has as a generator half the size of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as [[13-limit|13-limit]] sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. [[46edo|46edo]] is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available. The name "sensi" is a play on the words "semi-" and "sixth." |
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| [[Comma|Commas]]: 126/125, 245/243 | | [[Comma|Commas]]: 126/125, 245/243 |
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| 7-limit minimax | | 7-limit minimax |
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| [|1 0 0 0>, |1/13 0 0 7/13>, |5/13 0 0 9/13>, |0 0 0 1>] | | [|1 0 0 0>, |1/13 0 0 7/13>, |5/13 0 0 9/13>, |0 0 0 1>] |
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| [[Eigenmonzo|Eigenmonzos]]: 2, 7 | | [[Eigenmonzo|Eigenmonzos]]: 2, 7 |
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| 9-limit minimax | | 9-limit minimax |
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| [|1 0 0 0>, |2/5 14/5 -7/5 0>, | | [|1 0 0 0>, |2/5 14/5 -7/5 0>, |
| |4/5 18/5 -9/5 0>, |3/5 26/5 -13/5 0>] | | |4/5 18/5 -9/5 0>, |3/5 26/5 -13/5 0>] |
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| [[Eigenmonzo|Eigenmonzos]]: 2, 9/5 | | [[Eigenmonzo|Eigenmonzos]]: 2, 9/5 |
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| [[POTE tuning|POTE generator]]: ~9/7 = 443.383 | | [[POTE_tuning|POTE generator]]: ~9/7 = 443.383 |
| Algebraic generator: The [[Algebraic number|real root]] of x^5+x^4-4x^2+x-1, at 443.3783 cents. | | |
| | Algebraic generator: The [[Algebraic_number|real root]] of x^5+x^4-4x^2+x-1, at 443.3783 cents. |
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| | [[Map|Map]]: [<1 6 8 11|, <0 -7 -9 -13|] |
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| [[Map]]: [<1 6 8 11|, <0 -7 -9 -13|]
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| Wedgie: <<7 9 13 -2 1 5|| | | Wedgie: <<7 9 13 -2 1 5|| |
| [[Generator|Generators]]: 2, 14/9
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| [[EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[157edo|157d]], [[203edo|203cd]], [[249edo|249cd]], [[295edo|295cd]]
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| [[Badness]]: 0.0256
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| ==Sensor== | | [[generator|Generators]]: 2, 14/9 |
| [[Comma]]s: 126/125, 245/243, 385/384 | | |
| | [[EDO|EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[157edo|157d]], [[203edo|203cd]], [[249edo|249cd]], [[295edo|295cd]] |
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| | [[Badness|Badness]]: 0.0256 |
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| | ==Sensor== |
| | [[Comma|Comma]]s: 126/125, 245/243, 385/384 |
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| | [[POTE_tuning|POTE generator]]: ~9/7 = 443.294 |
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| | [[Map|Map]]: [<1 6 8 11 -6|, <0 -7 -9 -13 15|] |
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| | [[EDO|EDO]]s: 19, 27, 46, 111d, 157d, 268cd |
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| | [[Badness|Badness]]: 0.0379 |
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| | ===13-limit=== |
| | [[Comma|Comma]]s: 91/90, 126/125, 169/168, 385/384 |
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| | [[POTE_tuning|POTE generator]]: ~9/7 = 443.321 |
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| | [[Map|Map]]: [<1 6 8 11 -6 10|, <0 -7 -9 -13 15 -10|] |
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| | [[EDO|EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[111edo|111df]], [[157edo|157df]] |
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| | [[Badness|Badness]]: 0.0256 |
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| | ==Sensis== |
| | [[Comma|Comma]]s: 56/55, 100/99, 245/243 |
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| | [[POTE_tuning|POTE generator]]: 443.962 |
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| | [[Map|Map]]: [<1 6 8 11 6|, <0 -7 -9 -13 -4|] |
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| [[POTE tuning|POTE generator]]: ~9/7 = 443.294 | | [[EDO|EDO]]s: [[19edo|19]], [[27edo|27e]], [[73edo|73e]] |
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| [[Map]]: [<1 6 8 11 -6|, <0 -7 -9 -13 15|] | | [[Badness|Badness]]: 0.0287 |
| [[EDO]]s: 19, 27, 46, 111d, 157d, 268cd
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| [[Badness]]: 0.0379
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| ===13-limit=== | | ===13-limit=== |
| [[Comma]]s: 91/90, 126/125, 169/168, 385/384 | | [[Comma|Comma]]s: 56/55, 78/77, 91/90, 100/99 |
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| [[POTE tuning|POTE generator]]: ~9/7 = 443.321 | | [[POTE_tuning|POTE generator]]: 443.945 |
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| [[Map]]: [<1 6 8 11 -6 10|, <0 -7 -9 -13 15 -10|] | | [[Map|Map]]: [<1 6 8 11 6 10|, <0 -7 -9 -13 -4 -10|] |
| [[EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[111edo|111df]], [[157edo|157df]]
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| [[Badness]]: 0.0256
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| ==Sensis==
| | [[EDO|EDO]]s: 19, 27e, 46e, 73e |
| [[Comma]]s: 56/55, 100/99, 245/243 | |
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| [[POTE tuning|POTE generator]]: 443.962 | | [[Badness|Badness]]: 0.0200 |
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| [[Map]]: [<1 6 8 11 6|, <0 -7 -9 -13 -4|] | | ==Sensus== |
| [[EDO]]s: [[19edo|19]], [[27edo|27e]], [[73edo|73e]]
| | [[Comma|Comma]]s: 126/125, 176/175, 245/243 |
| [[Badness]]: 0.0287
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| ===13-limit===
| | [[POTE_generator|POTE generator]]: ~9/7 = 443.626 |
| [[Comma]]s: 56/55, 78/77, 91/90, 100/99 | |
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| [[POTE tuning|POTE generator]]: 443.945 | | [[Map|Map]]: [<1 6 8 11 23|, <0 -7 -9 -13 -31|] |
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| [[Map]]: [<1 6 8 11 6 10|, <0 -7 -9 -13 -4 -10|] | | [[EDO|EDO]]s: 46, 119c, 165c |
| [[EDO]]s: 19, 27e, 46e, 73e
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| [[Badness]]: 0.0200
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| ==Sensus==
| | [[Badness|Badness]]: 0.0295 |
| [[Comma]]s: 126/125, 176/175, 245/243 | |
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| [[POTE generator]]: ~9/7 = 443.626 | | ===13-limit=== |
| | [[Comma|Comma]]s: 91/90, 126/125, 169/168, 352/351 |
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| [[Map]]: [<1 6 8 11 23|, <0 -7 -9 -13 -31|] | | [[POTE_generator|POTE generator]]: ~9/7 = 443.559 |
| [[EDO]]s: 46, 119c, 165c
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| [[Badness]]: 0.0295
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| ===13-limit===
| | [[Map|Map]]: [<1 6 8 11 23 10|, <0 -7 -9 -13 -31 -10|] |
| [[Comma]]s: 91/90, 126/125, 169/168, 352/351 | |
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| [[POTE generator]]: ~9/7 = 443.559 | | [[EDO|EDO]]s: 46, 165cf, 211bcf, 257bcf, [[303edo|303bcdf]] |
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| [[Map]]: [<1 6 8 11 23 10|, <0 -7 -9 -13 -31 -10|] | | [[Badness|Badness]]: 0.0208 |
| [[EDO]]s: 46, 165cf, 211bcf, 257bcf, [[303edo|303bcdf]]
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| [[Badness]]: 0.0208
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| See [[Chords of sensus]] for a listing of chords. | | See [[Chords_of_sensus|Chords of sensus]] for a listing of chords. |
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| ==Sensa== | | ==Sensa== |
| Commas: 55/54, 77/75, 99/98 | | Commas: 55/54, 77/75, 99/98 |
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| Map: [<1 6 8 11 11|, <0 -7 -9 -13 -12|] | | Map: [<1 6 8 11 11|, <0 -7 -9 -13 -12|] |
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| EDOs: 19e, 27, 46e | | EDOs: 19e, 27, 46e |
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| Badness: 0.0368 | | Badness: 0.0368 |
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| ===13-limit=== | | ===13-limit=== |
| Commas: 55/54, 66/65, 77/75, 143/140 | | Commas: 55/54, 66/65, 77/75, 143/140 |
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| Map: [<1 6 8 11 11 10|, <0 -7 -9 -13 -12 -11|] | | Map: [<1 6 8 11 11 10|, <0 -7 -9 -13 -12 -11|] |
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| EDOs: 19e, 27, 46e | | EDOs: 19e, 27, 46e |
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| Badness: 0.0233 | | Badness: 0.0233 |
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| =Hemisensi= | | =Hemisensi= |
| Commas: 126/125, 243/242, 245/242 | | Commas: 126/125, 243/242, 245/242 |
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| Map: [<1 13 17 24 32|, <0 -14 -18 -26 -35|] | | Map: [<1 13 17 24 32|, <0 -14 -18 -26 -35|] |
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| EDOs: 27e, 65, 157de, 222cde | | EDOs: 27e, 65, 157de, 222cde |
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| Badness: 0.0487 | | Badness: 0.0487 |
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| =Sensei= | | =Sensei= |
| Commas: 225/224, 78732/78125 | | Commas: 225/224, 78732/78125 |
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| Map: [<1 6 8 23|, <0 -7 -9 -32|] | | Map: [<1 6 8 23|, <0 -7 -9 -32|] |
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| Wedgie: <<7 9 32 -2 31 49|| | | Wedgie: <<7 9 32 -2 31 49|| |
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| EDOs: 19, 84, 103, 187, 290b | | EDOs: 19, 84, 103, 187, 290b |
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| Badness: 0.0592 | | Badness: 0.0592 |
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| =Bison= | | =Bison= |
| Commas: 6144/6125, 78732/78125 | | Commas: 6144/6125, 78732/78125 |
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| Map: [<2 5 7 3|, <0 -7 -9 10|] | | Map: [<2 5 7 3|, <0 -7 -9 10|] |
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| Wedgie: <<14 18 -20 -4 -71 -97|| | | Wedgie: <<14 18 -20 -4 -71 -97|| |
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| EDOs: 8, 38, 46, 84, 130 | | EDOs: 8, 38, 46, 84, 130 |
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| Badness: 0.0704 | | Badness: 0.0704 |
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| ==11-limit== | | ==11-limit== |
| Commas: 441/440, 6144/6125, 8019/8000 | | Commas: 441/440, 6144/6125, 8019/8000 |
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| Map: [<2 5 7 3 3|, <0 -7 -9 10 15|] | | Map: [<2 5 7 3 3|, <0 -7 -9 10 15|] |
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| EDOs: 46, 84, 130, 306, 436ce | | EDOs: 46, 84, 130, 306, 436ce |
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| Badness: 0.0371 | | Badness: 0.0371 |
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| ==13-limit== | | ==13-limit== |
| Commas: 351/350, 364/363, 441/440, 10985/10976 | | Commas: 351/350, 364/363, 441/440, 10985/10976 |
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| Map: [<2 5 7 3 3 4|, <0 -7 -9 10 15 13|] | | Map: [<2 5 7 3 3 4|, <0 -7 -9 10 15 13|] |
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| EDOs: 46, 84, 130, 566ce, 596cef | | EDOs: 46, 84, 130, 566ce, 596cef |
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| Badness: 0.0235 | | Badness: 0.0235 |
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| =Heinz= | | =Heinz= |
| [[Comma]]s: 78732/78125, 1029/1024 | | [[Comma|Comma]]s: 78732/78125, 1029/1024 |
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| | [[POTE_generator|POTE generator]]: ~48/35 = 546.815 |
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| | [[Map|Map]]: [<1 13 17 -1|, <0 -21 -27 7|] |
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| | [[EDO|EDO]]s: [[46edo|46]], [[103edo|103]], [[149edo|149]], [[699edo|699bd]] |
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| | [[Badness|Badness]]: 0.1154 |
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| | ==11-limit== |
| | [[Comma|Comma]]s: 385/384, 441/440, 88208/87500 |
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| | [[POTE_generator|POTE generator]]: ~11/8 = 547.631 |
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| | [[Map|Map]]: [<1 13 17 -1 4|, <0 -21 -27 7 -1|] |
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| | [[EDO|EDO]]s: 46, 103, 149 |
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| | [[Badness|Badness]]: 0.0424 |
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| | ==13-limit== |
| | [[Comma|Comma]]s: 351/350, 385/384, 441/440, 847/845 |
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| [[POTE generator]]: ~48/35 = 546.815 | | [[POTE_generator|POTE generator]]: ~11/8 = 547.629 |
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| [[Map]]: [<1 13 17 -1|, <0 -21 -27 7|] | | [[Map|Map]]: [<1 13 17 -1 4 -5|, <0 -21 -27 7 -1 16|] |
| [[EDO]]s: [[46edo|46]], [[103edo|103]], [[149edo|149]], [[699edo|699bd]]
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| [[Badness]]: 0.1154
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| ==11-limit==
| | [[EDO|EDO]]s: 46, 57, 103, 149, 252e, 401bde |
| [[Comma]]s: 385/384, 441/440, 88208/87500 | |
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| [[POTE generator]]: ~11/8 = 547.631 | | [[Badness|Badness]]: 0.0258 |
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| [[Map]]: [<1 13 17 -1 4|, <0 -21 -27 7 -1|]
| | ==17-limit== |
| [[EDO]]s: 46, 103, 149 | | [[Comma|Comma]]s: 273/272, 351/350, 385/384, 441/440, 847/845 |
| [[Badness]]: 0.0424
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| ==13-limit==
| | [[POTE_generator|POTE generator]]: ~11/8 = 547.635 |
| [[Comma]]s: 351/350, 385/384, 441/440, 847/845 | |
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| [[POTE generator]]: ~11/8 = 547.629 | | [[Map|Map]]: [<1 13 17 -1 4 -5 3|, <0 -21 -27 7 -1 16 2|] |
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| [[Map]]: [<1 13 17 -1 4 -5|, <0 -21 -27 7 -1 16|] | | [[EDO|EDO]]s: 46, 103, 149, [[252edo|252ef]], [[401edo|401bdef]] |
| [[EDO]]s: 46, 57, 103, 149, 252e, 401bde
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| [[Badness]]: 0.0258 | |
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| ==17-limit==
| | [[Badness|Badness]]: 0.0185 |
| [[Comma]]s: 273/272, 351/350, 385/384, 441/440, 847/845 | |
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| [[POTE generator]]: ~11/8 = 547.635 | | ==19-limit== |
| | [[Comma|Comma]]s: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968 |
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| [[Map]]: [<1 13 17 -1 4 -5 3|, <0 -21 -27 7 -1 16 2|] | | [[POTE_generator|POTE generator]]: ~11/8 = 547.614 |
| [[EDO]]s: 46, 103, 149, [[252edo|252ef]], [[401edo|401bdef]]
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| [[Badness]]: 0.0185
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| ==19-limit==
| | [[Map|Map]]: [<1 13 17 -1 4 -5 3 -5|, <0 -21 -27 7 -1 16 2 17|] |
| [[Comma]]s: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968 | |
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| [[POTE generator]]: ~11/8 = 547.614 | | [[EDO|EDO]]s: 46, 103h, 149h, 252efh |
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| [[Map]]: [<1 13 17 -1 4 -5 3 -5|, <0 -21 -27 7 -1 16 2 17|] | | [[Badness|Badness]]: 0.0190 |
| [[EDO]]s: 46, 103h, 149h, 252efh
| | [[Category:family]] |
| [[Badness]]: 0.0190</pre></div>
| | [[Category:list]] |
| <h4>Original HTML content:</h4>
| | [[Category:sensipent]] |
| <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"><html><head><title>Sensipent family</title></head><body><!-- ws:start:WikiTextTocRule:40:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><div style="margin-left: 1em;"><a href="#Sensipent">Sensipent</a></div>
| | [[Category:theory]] |
| <!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 1em;"><a href="#Sensi">Sensi</a></div>
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| <!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 2em;"><a href="#Sensi-Sensor">Sensor</a></div>
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| <!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 3em;"><a href="#Sensi-Sensor-13-limit">13-limit</a></div>
| |
| <!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 2em;"><a href="#Sensi-Sensis">Sensis</a></div>
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| <!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 3em;"><a href="#Sensi-Sensis-13-limit">13-limit</a></div>
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| <!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 2em;"><a href="#Sensi-Sensus">Sensus</a></div>
| |
| <!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 3em;"><a href="#Sensi-Sensus-13-limit">13-limit</a></div>
| |
| <!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 2em;"><a href="#Sensi-Sensa">Sensa</a></div>
| |
| <!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 3em;"><a href="#Sensi-Sensa-13-limit">13-limit</a></div>
| |
| <!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 1em;"><a href="#Hemisensi">Hemisensi</a></div>
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| <!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 1em;"><a href="#Sensei">Sensei</a></div>
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| <!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 1em;"><a href="#Bison">Bison</a></div>
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| <!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#Bison-11-limit">11-limit</a></div>
| |
| <!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 2em;"><a href="#Bison-13-limit">13-limit</a></div>
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| <!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 1em;"><a href="#Heinz">Heinz</a></div>
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| <!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 2em;"><a href="#Heinz-11-limit">11-limit</a></div>
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| <!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 2em;"><a href="#Heinz-13-limit">13-limit</a></div>
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| <!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 2em;"><a href="#Heinz-17-limit">17-limit</a></div>
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| <!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 2em;"><a href="#Heinz-19-limit">19-limit</a></div>
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| <!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --></div>
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| <!-- ws:end:WikiTextTocRule:61 --><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/Sensi">Deutsch</a><br />
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| </span><br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Sensipent"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensipent</h1>
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| <a class="wiki_link" href="/Comma">Comma</a>: 78732/78125 = |2 9 -7&gt;<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 162/125 = 443.058 cents<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8|, &lt;0 -7 -9|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/65edo">65</a>, <a class="wiki_link" href="/539edo">539</a>, <a class="wiki_link" href="/604edo">604c</a>, <a class="wiki_link" href="/669edo">669c</a>, <a class="wiki_link" href="/734edo">734c</a>, <a class="wiki_link" href="/799edo">799c</a>, <a class="wiki_link" href="/864edo">864c</a>, <a class="wiki_link" href="/929edo">929c</a><br />
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| <br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:2 -->Sensi</h1>
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| Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;27 temperament. It has as a generator half the size of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as <a class="wiki_link" href="/13-limit">13-limit</a> sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. <a class="wiki_link" href="/46edo">46edo</a> is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available. The name &quot;sensi&quot; is a play on the words &quot;semi-&quot; and &quot;sixth.&quot;<br />
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| <br />
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| <a class="wiki_link" href="/Comma">Commas</a>: 126/125, 245/243<br />
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| <br />
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| 7-limit minimax<br />
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| [|1 0 0 0&gt;, |1/13 0 0 7/13&gt;, |5/13 0 0 9/13&gt;, |0 0 0 1&gt;]<br /> | |
| <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7<br />
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| <br />
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| 9-limit minimax<br />
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| [|1 0 0 0&gt;, |2/5 14/5 -7/5 0&gt;,<br />
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| |4/5 18/5 -9/5 0&gt;, |3/5 26/5 -13/5 0&gt;]<br />
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| <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 9/5<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 443.383<br />
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| Algebraic generator: The <a class="wiki_link" href="/Algebraic%20number">real root</a> of x^5+x^4-4x^2+x-1, at 443.3783 cents.<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br />
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| Wedgie: &lt;&lt;7 9 13 -2 1 5||<br />
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| <a class="wiki_link" href="/Generator">Generators</a>: 2, 14/9<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/157edo">157d</a>, <a class="wiki_link" href="/203edo">203cd</a>, <a class="wiki_link" href="/249edo">249cd</a>, <a class="wiki_link" href="/295edo">295cd</a><br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0256<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Sensi-Sensor"></a><!-- ws:end:WikiTextHeadingRule:4 -->Sensor</h2>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 126/125, 245/243, 385/384<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 443.294<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 -6|, &lt;0 -7 -9 -13 15|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: 19, 27, 46, 111d, 157d, 268cd<br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0379<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Sensi-Sensor-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h3>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 91/90, 126/125, 169/168, 385/384<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 443.321<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 -6 10|, &lt;0 -7 -9 -13 15 -10|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/111edo">111df</a>, <a class="wiki_link" href="/157edo">157df</a><br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0256<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Sensi-Sensis"></a><!-- ws:end:WikiTextHeadingRule:8 -->Sensis</h2>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 56/55, 100/99, 245/243<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 443.962<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 6|, &lt;0 -7 -9 -13 -4|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/27edo">27e</a>, <a class="wiki_link" href="/73edo">73e</a><br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0287<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Sensi-Sensis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h3>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 56/55, 78/77, 91/90, 100/99<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 443.945<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: 19, 27e, 46e, 73e<br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0200<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Sensi-Sensus"></a><!-- ws:end:WikiTextHeadingRule:12 -->Sensus</h2>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 126/125, 176/175, 245/243<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~9/7 = 443.626<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: 46, 119c, 165c<br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0295<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Sensi-Sensus-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h3>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 91/90, 126/125, 169/168, 352/351<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~9/7 = 443.559<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 23 10|, &lt;0 -7 -9 -13 -31 -10|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: 46, 165cf, 211bcf, 257bcf, <a class="wiki_link" href="/303edo">303bcdf</a><br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0208<br />
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| <br />
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| See <a class="wiki_link" href="/Chords%20of%20sensus">Chords of sensus</a> for a listing of chords.<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Sensi-Sensa"></a><!-- ws:end:WikiTextHeadingRule:16 -->Sensa</h2>
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| Commas: 55/54, 77/75, 99/98<br />
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| <br />
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| POTE generator: ~9/7 = 443.518<br />
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| <br />
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| Map: [&lt;1 6 8 11 11|, &lt;0 -7 -9 -13 -12|]<br />
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| EDOs: 19e, 27, 46e<br />
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| Badness: 0.0368<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="Sensi-Sensa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h3>
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| Commas: 55/54, 66/65, 77/75, 143/140<br />
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| <br />
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| POTE generator: ~9/7 = 443.506<br />
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| <br />
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| Map: [&lt;1 6 8 11 11 10|, &lt;0 -7 -9 -13 -12 -11|]<br />
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| EDOs: 19e, 27, 46e<br />
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| Badness: 0.0233<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Hemisensi"></a><!-- ws:end:WikiTextHeadingRule:20 -->Hemisensi</h1>
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| Commas: 126/125, 243/242, 245/242<br />
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| <br />
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| POTE generator: ~25/22 = 221.605<br />
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| <br />
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| Map: [&lt;1 13 17 24 32|, &lt;0 -14 -18 -26 -35|]<br />
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| EDOs: 27e, 65, 157de, 222cde<br />
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| Badness: 0.0487<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Sensei"></a><!-- ws:end:WikiTextHeadingRule:22 -->Sensei</h1>
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| Commas: 225/224, 78732/78125<br />
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| <br />
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| POTE generator: ~125/81 = 757.245<br />
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| <br />
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| Map: [&lt;1 6 8 23|, &lt;0 -7 -9 -32|]<br />
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| Wedgie: &lt;&lt;7 9 32 -2 31 49||<br />
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| EDOs: 19, 84, 103, 187, 290b<br />
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| Badness: 0.0592<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Bison"></a><!-- ws:end:WikiTextHeadingRule:24 -->Bison</h1>
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| Commas: 6144/6125, 78732/78125<br />
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| <br />
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| POTE generator: ~35/32 = 156.925<br />
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| <br />
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| Map: [&lt;2 5 7 3|, &lt;0 -7 -9 10|]<br />
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| Wedgie: &lt;&lt;14 18 -20 -4 -71 -97||<br />
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| EDOs: 8, 38, 46, 84, 130<br />
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| Badness: 0.0704<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Bison-11-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->11-limit</h2>
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| Commas: 441/440, 6144/6125, 8019/8000<br />
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| <br />
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| POTE generator: ~35/32 = 156.883<br />
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| <br />
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| Map: [&lt;2 5 7 3 3|, &lt;0 -7 -9 10 15|]<br />
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| EDOs: 46, 84, 130, 306, 436ce<br />
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| Badness: 0.0371<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Bison-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h2>
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| Commas: 351/350, 364/363, 441/440, 10985/10976<br />
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| <br />
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| POTE generator: ~35/32 = 156.904<br />
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| <br />
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| Map: [&lt;2 5 7 3 3 4|, &lt;0 -7 -9 10 15 13|]<br />
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| EDOs: 46, 84, 130, 566ce, 596cef<br />
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| Badness: 0.0235<br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Heinz"></a><!-- ws:end:WikiTextHeadingRule:30 -->Heinz</h1>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 78732/78125, 1029/1024<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~48/35 = 546.815<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1|, &lt;0 -21 -27 7|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/103edo">103</a>, <a class="wiki_link" href="/149edo">149</a>, <a class="wiki_link" href="/699edo">699bd</a><br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.1154<br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Heinz-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 385/384, 441/440, 88208/87500<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~11/8 = 547.631<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1 4|, &lt;0 -21 -27 7 -1|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: 46, 103, 149<br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0424<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Heinz-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 351/350, 385/384, 441/440, 847/845<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~11/8 = 547.629<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1 4 -5|, &lt;0 -21 -27 7 -1 16|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: 46, 57, 103, 149, 252e, 401bde<br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0258<br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Heinz-17-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->17-limit</h2>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 273/272, 351/350, 385/384, 441/440, 847/845<br />
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| <br />
| |
| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~11/8 = 547.635<br />
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| <br />
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| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1 4 -5 3|, &lt;0 -21 -27 7 -1 16 2|]<br />
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| <a class="wiki_link" href="/EDO">EDO</a>s: 46, 103, 149, <a class="wiki_link" href="/252edo">252ef</a>, <a class="wiki_link" href="/401edo">401bdef</a><br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0185<br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Heinz-19-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->19-limit</h2>
| |
| <a class="wiki_link" href="/Comma">Comma</a>s: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968<br />
| |
| <br />
| |
| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~11/8 = 547.614<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1 4 -5 3 -5|, &lt;0 -21 -27 7 -1 16 2 17|]<br />
| |
| <a class="wiki_link" href="/EDO">EDO</a>s: 46, 103h, 149h, 252efh<br />
| |
| <a class="wiki_link" href="/Badness">Badness</a>: 0.0190</body></html></pre></div>
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