Interval size measure: Difference between revisions
based on a proposal from Oct 2024 to rededicate "euhekts" from 19edt to 39edt. The rationale here is that "euhekts" in the 19edt sense seem to have entirely been an invention of MoreMajorThanMajor, and not used anywhere else on the internet than this page. 39 is a much more useful amount to subdivide the tritave into than 19, considering 19 is more or less the same as cents. |
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| 31 (prime) | | 31 (prime) | ||
| See the dedicated page. | | See the dedicated page. | ||
|- | |||
| [[Dea]] | |||
| [[41edo|41]] | |||
| 41 (prime) | |||
| Proposed by [[User:Tristanbay|Tristan Bay]] (2025) to reflect that a mina is a "minute" (1/60 the width) of a 1\41 "degree". | |||
|- | |- | ||
| [[Méride]] | | [[Méride]] | ||
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| [[494edo|494]] | | [[494edo|494]] | ||
| 2 × 13 × 19 | | 2 × 13 × 19 | ||
| | | Named after [[729/728]], the squbema, due to its similar size. | ||
|- | |- | ||
| [[Great iring]] / [[great centitone|centitone]] | | [[Great iring]] / [[great centitone|centitone]] | ||
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| [[Relative cent]] of [[6edo]]; proposed by [[Widogast Iring]] (1898), later by [[Joseph Yasser]] as a "centitone", a standard SI prefix + 12edo tone (1932)<ref name="measure"/><ref>[http://www.tonalsoft.com/enc/c/centitone.aspx Tonalsoft | ''Centitone, iring'']</ref>. | | [[Relative cent]] of [[6edo]]; proposed by [[Widogast Iring]] (1898), later by [[Joseph Yasser]] as a "centitone", a standard SI prefix + 12edo tone (1932)<ref name="measure"/><ref>[http://www.tonalsoft.com/enc/c/centitone.aspx Tonalsoft | ''Centitone, iring'']</ref>. | ||
|- | |- | ||
| [[ | | [[Nil]] / [[skisma]] (Sk) | ||
| [[612edo|612]] | | [[612edo|612]] | ||
| 2<sup>2</sup> × 3<sup>2</sup> × 17 | | 2<sup>2</sup> × 3<sup>2</sup> × 17 | ||
| | | Proposed by [[James Paul White]] (1894) as ''nil'', and by Gene Ward Smith (2007) as ''skisma''<ref name="measure"/><ref>[http://tonalsoft.com/enc/s/sk.aspx Tonalsoft | ''Sk, 612-edo'']</ref>. Edo representation of [[Sagittal notation|Sagittal]]'s Ultra (Herculean) precision level JI notation (58eda), where it is known as an "ultrina". | ||
|- | |- | ||
| [[Delfi]] | | [[Delfi]] | ||
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| See the dedicated page. | | See the dedicated page. | ||
|- | |- | ||
| | | Dingle | ||
| [[ | | [[1395edo|1395]] | ||
| | | 3<sup>2</sup> × 5 × 31 | ||
| Proposed by [[User:Tristanbay|Tristan Bay]] (2026) as a 31edo-friendly fine-grain measure, shortened from "'''di'''esis a'''ngle'''". | |||
| [[ | |||
|- | |- | ||
| Decifarab | | Decifarab | ||
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| 2<sup>5</sup> × 3<sup>2</sup> × 5 | | 2<sup>5</sup> × 3<sup>2</sup> × 5 | ||
| Standard SI prefix + [[farab]]<ref name="measure"/>. | | Standard SI prefix + [[farab]]<ref name="measure"/>. | ||
|- | |- | ||
| Heptamu (7mu) | | Heptamu (7mu) | ||
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| 2<sup>9</sup> × 3 | | 2<sup>9</sup> × 3 | ||
| Seventh MIDI-resolution unit, 1/128 (1/(2<sup>7</sup>)) of [[12edo]] semitone<ref>[http://tonalsoft.com/enc/number/7mu.aspx Tonalsoft | ''7mu / heptamu'']</ref> | | Seventh MIDI-resolution unit, 1/128 (1/(2<sup>7</sup>)) of [[12edo]] semitone<ref>[http://tonalsoft.com/enc/number/7mu.aspx Tonalsoft | ''7mu / heptamu'']</ref> | ||
|- | |- | ||
| śata | | śata | ||
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| 2<sup>6</sup> × 5<sup>2</sup> | | 2<sup>6</sup> × 5<sup>2</sup> | ||
| From Sanskrit ''śatam'': hundred; [[relative cent]] of Armodue 16edo theory{{Citation needed}} | | From Sanskrit ''śatam'': hundred; [[relative cent]] of Armodue 16edo theory{{Citation needed}} | ||
|- | |- | ||
| [[Iota]] | | [[Iota]] | ||
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| 2<sup>2</sup> × 5<sup>2</sup> x 43 | | 2<sup>2</sup> × 5<sup>2</sup> x 43 | ||
| {{Citation needed}} | | {{Citation needed}} | ||
|- | |||
| [[4320edo|Click]] | |||
| [[4320edo|4320]] | |||
| 2<sup>5</sup> × 3<sup>3</sup> × 5 | |||
| Proposed by [[User:Eliora|Eliora]]. See the dedicated page. | |||
|- | |- | ||
| [[Major tina]] | | [[Major tina]] | ||