List of superparticular intervals/71-limit

Revision as of 13:46, 15 February 2026 by FloraC (talk | contribs) (Created page with "{{Breadcrumb}} == 71-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> |- | 71/70 | 24.557 | 71/(2×5×7) | 2.5.7.71 {{monzo| -1 -1 -1 1 }...")
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71-limit (incomplete)

Ratio Cents Factorization Monzo Name(s) Meta[1]
71/70 24.557 71/(2×5×7) 2.5.7.71 [-1 -1 -1 1
72/71 24.213 (23×32)/71 2.3.71 [3 2 -1
5041/5040 0.34346 712/(24×32×5×7) 2.3.5.7.71 [-4 -2 -1 -1 2 Third brown pair comma S71
160561400000/160561399999 1.0783×10-8 (26×55×19×29×31×47) / (7×112×13×593×71) 2.5.7.11.13.19.29.31.47.59.71 [6 5 -1 -2 -1 1 1 1 1 -3 -1 Borcherdsma

Notes

  1. Denoted by S-expressions, where sk is defined as (k/(k - 1))/((k + 1)/k). See square superparticular for details.