Bohpier - Revision history

FloraC: Text replacement - "Category:Mirkwai clan" to "Category:Canopic clan"

2026-06-06T10:30:12Z

Text replacement - "Category:Mirkwai clan" to "Category:Canopic clan"

← Older revision		Revision as of 10:30, 6 June 2026
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	[[Category:Sensamagic clan]]		[[Category:Sensamagic clan]]
	[[Category:Gariboh clan]]		[[Category:Gariboh clan]]
	[[Category:~~Mirkwai~~ clan]]		[[Category:Canopic clan]]
	[[Category:Bohlen–Pierce]]		[[Category:Bohlen–Pierce]]

FloraC: + infobox

2026-04-02T09:53:45Z

+ infobox

← Older revision		Revision as of 09:53, 2 April 2026
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			{{Infobox regtemp
			\| Title = Bohpier
			\| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
			\| Comma basis = [[245/243]], [[3125/3087]] (7-limit); <br>[[100/99]], [[245/243]], [[1344/1331]] (11-limit; <br>[[100/99]], [[144/143]], [[196/195]], [[275/273]]<br>(13-limit)
			\| Edo join 1 = 41 \| Edo join 2 = 49f
			\| Mapping = 1; 13 19 23 12 14
			\| Generators = 12/11
			\| Generators tuning = 146.5
			\| Optimization method = CWE
			\| MOS scales = [[1L 7s]], [[8L 1s]], [[8L 9s]], [[8L 17s]]
			\| Odd limit 1 = 9 \| Mistuning 1 = 6.53 \| Complexity 1 = 25
			\| Odd limit 2 = 13-limit 21 \| Mistuning 2 = 12.5 \| Complexity 2 = 41
			}}
	'''Bohpier''' is a [[rank-2 temperament\|rank-2]] [[regular temperament\|temperament]] which can be described as the [[Bohlen–Pierce]] scale with [[2/1\|octaves]]. From this strong relation it derives its name. In this temperament, like in Bohlen–Pierce, 13 generator steps give the [[3/1\|3rd harmonic]], 19 give the [[5/1\|5th harmonic]], and 23 give the [[7/1\|7th harmonic]], [[tempering out]] the sensamagic comma ([[245/243]]) and the gariboh comma ([[3125/3087]]). The only difference is the addition of the [[period]] of an octave.		'''Bohpier''' is a [[rank-2 temperament\|rank-2]] [[regular temperament\|temperament]] which can be described as the [[Bohlen–Pierce]] scale with [[2/1\|octaves]]. From this strong relation it derives its name. In this temperament, like in Bohlen–Pierce, 13 generator steps give the [[3/1\|3rd harmonic]], 19 give the [[5/1\|5th harmonic]], and 23 give the [[7/1\|7th harmonic]], [[tempering out]] the sensamagic comma ([[245/243]]) and the gariboh comma ([[3125/3087]]). The only difference is the addition of the [[period]] of an octave.

FloraC: /* Tunings */ + tunings

2025-10-12T10:04:37Z

Tunings: + tunings

@@ Line 339: / Line 339: @@
 == Tunings ==
-[[POTE generator]]:
+{| class="wikitable mw-collapsible mw-collapsed"
-* 7-limit: ~27/25 = 146.47407
+|+ style="font-size: 105%; white-space: nowrap;" | 7-limit norm-based tunings
-* 11-limit: ~12/11 = 146.54458
+|-
-* 13-limit: ~12/11 = 146.60266
+! rowspan="2" |
 [[TOP tuning|TOP generators]]:
-* 7-limit: ~2 = 1200.00000, ~27/25 = 146.47407
+* 7-limit: ~2 = 1200.00000{{c}}, ~27/25 = 146.47407{{c}}
-* 11-limit: ~2 = 1199.23623, ~12/11 = 146.45131
+* 11-limit: ~2 = 1199.23623{{c}}, ~12/11 = 146.45131{{c}}
-* 13-limit: ~2 = 1198.55643, ~12/11 = 146.42630
+* 13-limit: ~2 = 1198.55643{{c}}, ~12/11 = 146.42630{{c}}
 === Tuning spectrum ===

Lériendil: Text replacement - "Eigenmonzo
(unchanged-interval)" to "Unchanged interval
(eigenmonzo)"

2025-06-21T06:56:01Z

Text replacement - "Eigenmonzo<br>(unchanged-interval)" to "Unchanged interval<br>(eigenmonzo)"

← Older revision		Revision as of 06:56, 21 June 2025
Line 353:		Line 353:
	\|-		\|-
	! Edo<br>generator		! Edo<br>generator
	! [[Eigenmonzo\|~~Eigenmonzo~~<br>(~~unchanged-interval~~)]]		! [[Eigenmonzo\|Unchanged interval<br>(eigenmonzo)]]
	! Generator (¢)		! Generator (¢)
	! Comments		! Comments

FloraC: - parent category

2025-04-28T13:51:46Z

- parent category

← Older revision		Revision as of 13:51, 28 April 2025
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	* [[Lumatone mapping for bohpier]]		* [[Lumatone mapping for bohpier]]

	~~[[Category:Temperaments]]~~
	[[Category:Bohpier]] <!-- main article -->		[[Category:Bohpier]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]

Lériendil at 23:00, 19 April 2025

2025-04-19T23:00:25Z

← Older revision		Revision as of 23:00, 19 April 2025
Line 516:		Line 516:
	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Bohpier]] <!-- main article -->		[[Category:Bohpier]] <!-- main article -->
			[[Category:Rank-2 temperaments]]
	[[Category:Sensamagic clan]]		[[Category:Sensamagic clan]]
	[[Category:Gariboh clan]]		[[Category:Gariboh clan]]
	[[Category:Mirkwai clan]]		[[Category:Mirkwai clan]]
	[[Category:Bohlen–Pierce]]		[[Category:Bohlen–Pierce]]

ArrowHead294 at 13:02, 10 March 2025

2025-03-10T13:02:30Z

← Older revision		Revision as of 13:02, 10 March 2025
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	[[Category:Gariboh clan]]		[[Category:Gariboh clan]]
	[[Category:Mirkwai clan]]		[[Category:Mirkwai clan]]
	[[Category:~~Bohlen-Pierce~~]]		[[Category:Bohlen–Pierce]]

FloraC: /* Interval chain */ +commatic steps to the table

2025-03-04T13:09:35Z

Interval chain: +commatic steps to the table

@@ Line 152: / Line 152: @@
 ! Cents*
 ! Ratios
 |-
 | 1
@@ Line 292: / Line 312: @@
 | 1109.1
 | 40/21
 |}
 <nowiki/>* In 13-limit CWE tuning

FloraC: +interval chain

2025-03-04T13:00:17Z

+interval chain

Show changes

FloraC: +categories

2025-03-04T11:52:42Z

+categories

← Older revision		Revision as of 11:52, 4 March 2025
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	[[Category:Bohpier]] <!-- main article -->		[[Category:Bohpier]] <!-- main article -->
	[[Category:Sensamagic clan]]		[[Category:Sensamagic clan]]
			[[Category:Gariboh clan]]
			[[Category:Mirkwai clan]]
	[[Category:Bohlen-Pierce]]		[[Category:Bohlen-Pierce]]