User:Overthink/Frameshift–Mercator equivalence continuum

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Revision as of 17:57, 26 October 2025 by Overthink (talk | contribs) (Created page with "The '''Frameshift-Mercator equivalence continuum''' is the set of all temperaments which equate a number ''n'' of frameshift commas to mercator's comma. When extended to include fractional and infinite ''n'', it represents the set of all 2.3.11 temperaments supported by 159edo. Unfortunately, many of these temperaments are quite complex. {| class="wikitable center-1" |+ style="font-size: 105%;" | Temperaments in the co...")
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The Frameshift-Mercator equivalence continuum is the set of all temperaments which equate a number n of frameshift commas to mercator's comma. When extended to include fractional and infinite n, it represents the set of all 2.3.11 temperaments supported by 159edo. Unfortunately, many of these temperaments are quite complex.

Temperaments in the continuum
n Temperament Comma
Ratio Monzo
−1 12e & 159 [very long] [-118 81 0 0 -3⟩
0 2.3.11 Mercator [very long] [-84 53⟩
1 29 & 36 [very long] [-50 25 0 0 3⟩
2 Tribilo (Rank-2 nexus) 1771561/1769472 [-16 -3 0 0 6⟩
3 17 & 142 618121839509504/617673396283947 [18 -31 0 0 9⟩
… … …
∞ Rank-2 Frameshift 22876792454961/22866405883904 [-34 28 0 0 -3⟩
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