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| Possible generators for bohpier include [[13edt|1\13edt]], [[19ed5|1\19ed5]], and [[23ed7|1\23ed7]]. Another excellent tuning for the temperament is [[41edo]], with generator 5\41. [[Mos scale]]s of 8, 9, 17, 25, or 33 notes are available. | | Possible generators for bohpier include [[13edt|1\13edt]], [[19ed5|1\19ed5]], and [[23ed7|1\23ed7]]. Another excellent tuning for the temperament is [[41edo]], with generator 5\41. [[Mos scale]]s of 8, 9, 17, 25, or 33 notes are available. |
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| == Temperament data ==
| | See [[Sensamagic clan #Bohpier]] for technical data. |
| <div class="toccolours mw-collapsible mw-collapsed" style="width: 600px; overflow: auto;">
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| <div style="line-height: 1.6;">'''Bohpier temperament (8d & 41)'''</div>
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| <div class="mw-collapsible-content">
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| Subgroup: 2.3.5.7.11.13
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| [[Comma list]]: 100/99, 144/143, 196/195, 275/273 | |
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| [[Mapping]]: [{{val| 1 0 0 0 2 2 }}, {{val| 0 13 19 23 12 14 }}]
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| [[POTE generator]]:
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| * 7-limit: ~27/25 = 146.47407
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| * 11-limit: ~12/11 = 146.54458
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| * 13-limit: ~12/11 = 146.60266
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| [[TOP tuning|TOP generator]]s:
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| * 7-limit: ~2 = 1200.00000, ~27/25 = 146.47407
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| * 11-limit: ~2 = 1199.23623, ~12/11 = 146.45131
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| * 13-limit: ~2 = 1198.55643, ~12/11 = 146.42630
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| [[Diamond monotone]] ranges:
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| * 5-odd-limit: ~27/25 = [144.00000, 150.00000] (3\25 to 1\8)
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| * 7-odd-limit: ~27/25 = [145.45455, 150.00000] (4\33 to 1\8)
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| * 9, 11, and 13-odd-limit: ~12/11 = [145.45455, 146.93878] (4\33 to 6\49)
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| * 15-odd-limit: ~12/11 = [146.34146, 146.93878] (5\41 to 6\49)
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| [[Diamond tradeoff]] ranges:
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| * 5-odd-limit: ~27/25 = [146.30423, 147.39312]
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| * 7-odd-limit: ~27/25 = [145.62805, 147.39312]
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| * 9 and 11-odd-limit: ~12/11 = [145.02803, 147.39312]
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| * 13 and 15-odd-limit: ~12/11 = [138.57266, 150.63706]
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| Diamond monotone and tradeoff ranges:
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| * 5-odd-limit: ~27/25 = [146.30423, 147.39312]
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| * 7-odd-limit: ~27/25 = [145.62805, 147.39312]
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| * 9, 11, and 13-odd-limit: ~12/11 = [145.45455, 146.93878]
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| * 15-odd-limit: ~12/11 = [146.34146, 146.93878]
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| [[Optimal ET sequence]]s:
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| * 7-limit: {{Optimal ET sequence| 41, 131, 172, 213c }}
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| * 11-limit: {{Optimal ET sequence| 41, 90e, 131e }}
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| * 13-limit: {{Optimal ET sequence| 41, 90ef, 131ef, 221bdeff }}
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| [[Badness]]:
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| * 7-limit: 0.068237
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| * 11-limit: 0.033949
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| * 13-limit: 0.024864
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| </div></div>
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| == Intervals == | | == Intervals == |
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| </div></div> | | </div></div> |
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| == Tuning spectrum == | | == Chords == |
| Gencom: [2 12/11; 100/99 144/143 196/195 275/273]
| | {{Main| Chords of bohpier }} |
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| Gencom mapping: [{{val| 1 0 0 0 2 2 }}, {{val| 0 13 19 23 12 14 }}]
| | == Tunings == |
| | [[POTE generator]]: |
| | * 7-limit: ~27/25 = 146.47407 |
| | * 11-limit: ~12/11 = 146.54458 |
| | * 13-limit: ~12/11 = 146.60266 |
| | |
| | [[TOP tuning|TOP generators]]: |
| | * 7-limit: ~2 = 1200.00000, ~27/25 = 146.47407 |
| | * 11-limit: ~2 = 1199.23623, ~12/11 = 146.45131 |
| | * 13-limit: ~2 = 1198.55643, ~12/11 = 146.42630 |
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| {| class="wikitable center-1 center-2 center-3 center-4" | | === Tuning spectrum === |
| | {| class="wikitable center-all left-4" |
| |- | | |- |
| ! [[eigenmonzo|Eigenmonzo<br />(unchanged-interval]]) | | ! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]] |
| ! Neutral <br />second | | ! Generator (¢) |
| ! Comments | | ! Comments |
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| == See also == | | == See also == |
| * [[Chords of bohpier]]
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| * [[Sensamagic chords]] | | * [[Sensamagic chords]] |
| * [[Lumatone mapping for bohpier]] | | * [[Lumatone mapping for bohpier]] |