User:Overthink/Perfect fifth ranges - Revision history

Overthink: a few tables

2026-01-06T04:04:35Z

a few tables

Overthink: oops

2025-12-23T01:34:05Z

oops

← Older revision		Revision as of 01:34, 23 December 2025
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	\| Sub-flattone<br>(4\7-15\26)		\| Sub-flattone<br>(4\7-15\26)
	\| rowspan="10" \|P.		\| rowspan="10" \|P.
	\| rowspan="4" \|~~Middle<br>~~Pythagorean<br>(7\12-24\41)		\| rowspan="4" \|Pythagorean<br>(7\12-24\41)
	\| Sub-schismic<br>(7\12-38\65)		\| Sub-schismic<br>(7\12-38\65)
	\|-		\|-
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	\|-		\|-
	\| colspan="2" \| 4\7 (685.714{{C}}) \|\| Lower meantone (meanpop)<br>(11\19-18\31)		\| colspan="2" \| 4\7 (685.714{{C}}) \|\| Lower meantone (meanpop)<br>(11\19-18\31)
	\| Pythagorean<br>(31\53-55\94)		\| Middle Pythagorean<br>(31\53-55\94)
	\|-		\|-
	\| rowspan="5" \|Diatonic		\| rowspan="5" \|Diatonic
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	\| colspan="3" \|7\12 (700{{C}})		\| colspan="3" \|7\12 (700{{C}})
	\| rowspan="3" \|Argent<br>(24\41-17\29)		\| rowspan="3" \|Argent<br>(24\41-17\29)
	\| rowspan="3" \|IDK about<br>~~subranges~~ here,~~<br>~~but many useful<br>~~EDOs~~ such as<br>~~99edo~~ and 140edo		\| rowspan="3" \|IDK about subranges<br>here, but many useful<br>edos such as 99edo<br> and 140edo
	\|-		\|-
	\| colspan="3" \| Near-Pythagorean		\| colspan="3" \| Near-Pythagorean

Overthink: Remove the last column; I can't think of further ranges

2025-12-23T01:32:04Z

Remove the last column; I can't think of further ranges

← Older revision		Revision as of 01:32, 23 December 2025
Line 5:		Line 5:
	! Simple MOS		! Simple MOS
	pattern ranges		pattern ranges
	! Diatonic Range !! colspan="2" \| Meantone/Superpyth !! colspan="3" \| Near-pyth ~~!! Pyth~~		! Diatonic Range !! colspan="2" \| Meantone/Superpyth !! colspan="3" \| Near-pyth
	\|-		\|-
	\| colspan="2" rowspan="2" \|Mavila		\| colspan="2" rowspan="2" \|Mavila
Line 11:		Line 11:
	\| Sub-flattone<br>(4\7-15\26)		\| Sub-flattone<br>(4\7-15\26)
	\| rowspan="10" \|P.		\| rowspan="10" \|P.
	\| rowspan="4" \|Pythagorean<br>(7\12-24\41)		\| rowspan="4" \|Middle<br>Pythagorean<br>(7\12-24\41)
	\| Sub-schismic<br>(7\12-38\65)		\| Sub-schismic<br>(7\12-38\65)
	~~\| rowspan="10" \|UNDER CONSTRUCTION~~
	\|-		\|-
	\| Flattone<br>(15\26-11\19)		\| Flattone<br>(15\26-11\19)
Line 44:		Line 43:
	\|-		\|-
	\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)		\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)
	\| ~~'''~~Noble region~~'''~~<br>(47\80-10\17)		\| Noble region<br>(47\80-10\17)
	\|}		\|}

Overthink: I made a name for this region

2025-12-23T00:49:07Z

I made a name for this region

← Older revision		Revision as of 00:49, 23 December 2025
Line 44:		Line 44:
	\|-		\|-
	\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)		\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)
	\| ~~???~~<br>(47\80-10\17)		\| '''Noble region'''<br>(47\80-10\17)
	\|}		\|}

Overthink: capitalization

2025-12-23T00:14:11Z

capitalization

← Older revision		Revision as of 00:14, 23 December 2025
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	\| rowspan="3" \|S.		\| rowspan="3" \|S.
	\| Shrub region (quasisupra)<br>(10\17-13\22)		\| Shrub region (quasisupra)<br>(10\17-13\22)
	\| rowspan="3" \|Parapyth/~~Gentle~~<br>(17\29-10\17)		\| rowspan="3" \|Parapyth/gentle<br>(17\29-10\17)
	\| Lower ~~Gentle~~<br>(17\29-27\46)		\| Lower gentle<br>(17\29-27\46)
	\|-		\|-
	\| colspan="2" \| 3\5 (720{{C}}) \|\| Superpyth<br>(13\22-16\27)		\| colspan="2" \| 3\5 (720{{C}}) \|\| Superpyth<br>(13\22-16\27)
	\| Upper ~~Gentle~~<br>(27\46-47\80)		\| Upper gentle<br>(27\46-47\80)
	\|-		\|-
	\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)		\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)
	\| ???<br>(47\80-10\17)		\| ???<br>(47\80-10\17)
	\|}		\|}

Overthink: expand near-pyth

2025-12-23T00:12:48Z

expand near-pyth

← Older revision		Revision as of 00:12, 23 December 2025
Line 1:		Line 1:
	A table of the ranges of the perfect fifth.		A table of the ranges of the perfect fifth. Note that smaller EDOs within a precision may support temperaments corresponding to a range they are not a part of, such as 5edo technically being meantone or 53edo tempering out the garischisma.
	{\| class="wikitable"		{\| class="wikitable"
	\|+		\|+
Line 5:		Line 5:
	! Simple MOS		! Simple MOS
	pattern ranges		pattern ranges
	! Diatonic Range !! colspan="2" \| Meantone/Superpyth !! colspan="2" \| Near-pyth !! !! Pyth		! Diatonic Range !! colspan="2" \| Meantone/Superpyth !! colspan="3" \| Near-pyth !! Pyth
	\|-		\|-
	\| colspan="2" rowspan="2" \|Mavila		\| colspan="2" rowspan="2" \|Mavila
	\| rowspan="4" \|M.		\| rowspan="4" \|M.
	\|Sub-flattone<br>(4\7-15\26)		\| Sub-flattone<br>(4\7-15\26)
	\| rowspan="10" \|P.		\| rowspan="10" \|P.
	\| rowspan="3" \|Pythagorean<br>(7\12-24\41)		\| rowspan="4" \|Pythagorean<br>(7\12-24\41)
	\|		\| Sub-schismic<br>(7\12-38\65)
	\|		\| rowspan="10" \|UNDER CONSTRUCTION
	\|-		\|-
	\| Flattone<br>(15\26-11\19)		\| Flattone<br>(15\26-11\19)
	\| \|\|		\| Schismic<br>(38\65-31\53)
	\|-		\|-
	\| colspan="2" \| 4\7 (685.714{{C}}) \|\| Lower meantone (meanpop)<br>(11\19-18\31)		\| colspan="2" \| 4\7 (685.714{{C}}) \|\| Lower meantone (meanpop)<br>(11\19-18\31)
	\| \|\|		\| Pythagorean<br>(31\53-55\94)
	\|-		\|-
	\| rowspan="5" \|Diatonic		\| rowspan="5" \|Diatonic
	\|Meantone ->		\| Meantone -><br>(4\7-7\12)
	\|Upper meantone (huygens)<br>(18\31-7\12)		\| Upper meantone (huygens)<br>(18\31-7\12)
	\| ~~rowspan="4" \|Argent~~<br>(24\41~~-17\29~~)		\| Garischismic<br>(55\94-24\41)
	\|
	\|
	\|-		\|-
	\| colspan="3" \|7\12 = 700{{C}}		\| colspan="3" \|7\12 (700{{C}})
	\|		\| rowspan="3" \|Argent<br>(24\41-17\29)
	\|		\| rowspan="3" \|IDK about<br>subranges here,<br>but many useful<br>EDOs such as<br>99edo and 140edo
	\|-		\|-
	\| colspan="3" \| Near-Pythagorean ~~\|\| \|\|~~		\| colspan="3" \| Near-Pythagorean
	\|-		\|-
	\| colspan="3" \|10\17 = 705.882{{C}}		\| colspan="3" \|10\17 (705.882{{C}})
	\|
	\|
	\|-		\|-
	\|Superpyth ->		\| Superpyth -><br>(10\17-3\5)
	\| rowspan="3" \|S.		\| rowspan="3" \|S.
	\|Shrub region (quasisupra)<br>(10\17-13\22)		\| Shrub region (quasisupra)<br>(10\17-13\22)
	\| rowspan="3" \|Parapyth<br>(17\29-10\17)		\| rowspan="3" \|Parapyth/Gentle<br>(17\29-10\17)
	\|		\| Lower Gentle<br>(17\29-27\46)
	\|
	\|-		\|-
	\| colspan="2" \| 3\5 (720{{C}}) \|\| Superpyth<br>(13\22-16\27)		\| colspan="2" \| 3\5 (720{{C}}) \|\| Superpyth<br>(13\22-16\27)
	\| \|\|		\| Upper Gentle<br>(27\46-47\80)
	\|-		\|-
	\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)		\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)
	\| \|\|		\| ???<br>(47\80-10\17)
	\|}		\|}

Overthink: line breaks and cents

2025-12-22T23:52:33Z

line breaks and cents

← Older revision		Revision as of 23:52, 22 December 2025
Line 9:		Line 9:
	\| colspan="2" rowspan="2" \|Mavila		\| colspan="2" rowspan="2" \|Mavila
	\| rowspan="4" \|M.		\| rowspan="4" \|M.
	\|Sub-flattone		\|Sub-flattone<br>(4\7-15\26)
	(4\7-15\26)
	\| rowspan="10" \|P.		\| rowspan="10" \|P.
	\| rowspan="3" \|Pythagorean		\| rowspan="3" \|Pythagorean<br>(7\12-24\41)
	(7\12-24\41)
	\|		\|
	\|		\|
	\|-		\|-
	\| Flattone		\| Flattone<br>(15\26-11\19)
	(15\26-11\19)
	\| \|\|		\| \|\|
	\|-		\|-
	\| colspan="2" \| 4\7 (685.714{{C}}) \|\| Lower meantone (meanpop)		\| colspan="2" \| 4\7 (685.714{{C}}) \|\| Lower meantone (meanpop)<br>(11\19-18\31)
	(11\19-18\31)
	\| \|\|		\| \|\|
	\|-		\|-
	\| rowspan="5" \|Diatonic		\| rowspan="5" \|Diatonic
	\|Meantone ->		\|Meantone ->
	\|Upper meantone (huygens)		\|Upper meantone (huygens)<br>(18\31-7\12)
	(18\31-7\12)		\| rowspan="4" \|Argent<br>(24\41-17\29)
	\| rowspan="4" \|Argent
	(24\41-17\29)
	\|		\|
	\|		\|
	\|-		\|-
	\| colspan="3" \|7\12 = 700 C		\| colspan="3" \|7\12 = 700{{C}}
	\|		\|
	\|		\|
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	\| colspan="3" \| Near-Pythagorean \|\| \|\|		\| colspan="3" \| Near-Pythagorean \|\| \|\|
	\|-		\|-
	\| colspan="3" \|10\17 = 705.882 C		\| colspan="3" \|10\17 = 705.882{{C}}
	\|		\|
	\|		\|
Line 46:		Line 40:
	\|Superpyth ->		\|Superpyth ->
	\| rowspan="3" \|S.		\| rowspan="3" \|S.
	\|Shrub region (quasisupra)		\|Shrub region (quasisupra)<br>(10\17-13\22)
	(10\17-13\22)		\| rowspan="3" \|Parapyth<br>(17\29-10\17)
	\| rowspan="3" \|Parapyth
	(17\29-10\17)
	\|		\|
	\|		\|
	\|-		\|-
	\| colspan="2" \| 3\5 (720{{C}}) \|\| Superpyth		\| colspan="2" \| 3\5 (720{{C}}) \|\| Superpyth<br>(13\22-16\27)
	(13\22-16\27)
	\| \|\|		\| \|\|
	\|-		\|-
	\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+		\| colspan="2" \| Oneiro \|\| Quasiultra/ultrapyth+<br>(16\27-3\5)
	(16\27-3\5)
	\| \|\|		\| \|\|
	\|}		\|}

Overthink: Created page with low-to-medium precision

2025-12-22T23:50:22Z

Created page with low-to-medium precision

New page

A table of the ranges of the perfect fifth.
{| class="wikitable"
|+
|-
! Simple MOS
pattern ranges
! Diatonic Range !! colspan="2" | Meantone/Superpyth !! colspan="2" | Near-pyth !! !! Pyth
|-
| colspan="2" rowspan="2" |Mavila
| rowspan="4" |M.
|Sub-flattone
(4\7-15\26)
| rowspan="10" |P.
| rowspan="3" |Pythagorean
(7\12-24\41)
|
|
|-
| Flattone
(15\26-11\19)
| ||
|-
| colspan="2" | 4\7 (685.714{{C}}) || Lower meantone (meanpop)
(11\19-18\31)
| ||
|-
| rowspan="5" |Diatonic
|Meantone ->
|Upper meantone (huygens)
(18\31-7\12)
| rowspan="4" |Argent
(24\41-17\29)
|
|
|-
| colspan="3" |7\12 = 700 C
|
|
|-
| colspan="3" | Near-Pythagorean || ||
|-
| colspan="3" |10\17 = 705.882 C
|
|
|-
|Superpyth ->
| rowspan="3" |S.
|Shrub region (quasisupra)
(10\17-13\22)
| rowspan="3" |Parapyth
(17\29-10\17)
|
|
|-
| colspan="2" | 3\5 (720{{C}}) || Superpyth
(13\22-16\27)
| ||
|-
| colspan="2" | Oneiro || Quasiultra/ultrapyth+
(16\27-3\5)
| ||
|}