FloraC at 13:42, 15 February 2026

2026-02-15T13:42:15Z

← Older revision		Revision as of 13:42, 15 February 2026
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	=== 59-limit (incomplete) ===		== 59-limit (incomplete) ==
	{\| class="wikitable center-6" style="width:100%"		{\| class="wikitable center-6" style="width:100%"
	! width="10%" \| [[Ratio]]		! width="10%" \| [[Ratio]]
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	\| 0.49741		\| 0.49741
	\| 59<sup>2</sup>/(2<sup>3</sup>×3×5×29)		\| 59<sup>2</sup>/(2<sup>3</sup>×3×5×29)
	\| 2.3.5.29.59 {{monzo\| -3 -1 -1 -1 2}}		\| 2.3.5.29.59 {{monzo\| -3 -1 -1 -1 2 }}
	\|		\|
	\| S59		\| S59

FloraC: Created page with "{{Breadcrumb}} === 59-limit (incomplete) === {| class="wikitable center-6" style="width:100%" ! width="10%" | Ratio ! width="10%" | Cents ! width="15%" | Factorization ! width="15%" | Monzo ! width="45%" | Name(s) ! width="5%" | MetaDenoted by S-expressions, where s''k'' is defined as (''k''/(''k'' - 1))/((''k'' + 1)/''k''). See square superparticular for details. |- | 59/58 | 29.594 | 59/(2×29) | 2.29.59 {{monzo| -1 -1 1 }} |..."

2026-02-15T13:41:36Z

Created page with "{{Breadcrumb}} === 59-limit (incomplete) === {| class="wikitable center-6" style="width:100%" ! width="10%" | Ratio ! width="10%" | Cents ! width="15%" | Factorization ! width="15%" | Monzo ! width="45%" | Name(s) ! width="5%" | Meta<ref name="ssp">Denoted by S-expressions, where s''k'' is defined as (''k''/(''k'' - 1))/((''k'' + 1)/''k''). See square superparticular for details.</ref> |- | 59/58 | 29.594 | 59/(2×29) | 2.29.59 {{monzo| -1 -1 1 }} |..."

New page

{{Breadcrumb}}

=== 59-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp">Denoted by S-expressions, where s''k'' is defined as (''k''/(''k'' - 1))/((''k'' + 1)/''k''). See [[square superparticular]] for details.</ref>
|-
| [[59/58]]
| 29.594
| 59/(2×29)
| 2.29.59 {{monzo| -1 -1 1 }}
|
|
|-
| [[60/59]]
| 29.097
| (22×3×5)/59
| 2.3.5.59 {{monzo| 2 1 1 -1 }}
|
|
|-
| [[118/117]]
| 14.734
| (2×59)/(32×13)
| 2.3.13.59 {{monzo| 1 -2 -1 1 }}
|
|
|-
| [[119/118]]
| 14.610
| (7×17)/(2×59)
| 2.7.17.59 {{monzo| -1 1 1 -1 }}
|
|
|-
| [[177/176]]
| 9.8087
| (3×59)/(24×11)
| 2.3.11.59 {{monzo| -4 1 -1 1 }}
|
|
|-
| [[236/235]]
| 7.3513
| (22×59)/(5×47)
| 2.5.47.59 {{monzo| 2 -1 -1 1 }}
|
|
|-
| [[295/294]]
| 5.8786
| (5×59)/(2×3×72)
| 2.3.5.7.59 {{monzo| -1 -1 1 -2 1 }}
|
|
|-
| [[296/295]]
| 5.8587
| (23×37)/(5×59)
| 2.5.37.59 {{monzo| 3 -1 1 -1 }}
|
|
|-
| [[414/413]]
| 4.1868
| (2×32×23)/(7×59)
| 2.3.7.23.59 {{monzo| 1 2 -1 1 -1 }}
|
|
|-
| [[473/472]]
| 3.6640
| (11×43)/(23×59)
| 2.11.43.59 {{monzo| -3 1 1 -1 }}
|
|
|-
| [[1121/1120]]
| 1.5451
| (19×59)/(25×5×7)
| 2.5.7.19.59 {{monzo| -5 -1 -1 1 1 }}
|
|
|-
| [[1122/1121]]
| 1.5437
| (2×3×11×17)/(19×59)
| 2.3.11.17.19.59 {{monzo| 1 1 1 1 -1 -1 }}
|
|
|-
| [[3481/3480]]
| 0.49741
| 592/(23×3×5×29)
| 2.3.5.29.59 {{monzo| -3 -1 -1 -1 2}}
|
| S59
|}

[[Category:Lists of intervals]]
[[Category:Superparticular ratios|*]]

List of superparticular intervals/59-limit - Revision history

FloraC at 13:42, 15 February 2026