1789edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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|- | |- | ||
! Step | ! Step | ||
! Eliora's | ! Eliora's naming system | ||
! JI | ! JI approximation or other interpretations* | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 129: | Line 129: | ||
| 1046 | | 1046 | ||
| Minor fifth | | Minor fifth | ||
| [[3/2]] | | [[3/2]]** | ||
|- | |- | ||
| 1047 | | 1047 | ||
| Major fifth | | Major fifth | ||
| [[3/2]] | | [[3/2]]** | ||
|- | |- | ||
| 1213 | | 1213 | ||
| Line 161: | Line 161: | ||
<nowiki />* Based on the 2.5.11.13.29.31 subgroup where applicable | <nowiki />* Based on the 2.5.11.13.29.31 subgroup where applicable | ||
< | <nowiki />** 1046\1789 as 3/2 is the patent val, 1047\1789 as 3/2 is the 1789b val | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
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|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperament | ! Temperament | ||
|- | |- | ||
| 1 | |||
| 35\1789 | | 35\1789 | ||
| 23.48 | | 23.48 | ||
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| [[Commatose]] | | [[Commatose]] | ||
|- | |- | ||
| " | |||
| 125\1789 | | 125\1789 | ||
| 83.85 | | 83.85 | ||
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| [[Sextilimeans]] | | [[Sextilimeans]] | ||
|- | |- | ||
| " | |||
| 144\1789 | | 144\1789 | ||
| 96.59 | | 96.59 | ||
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| [[Hemiluna]] (1789bd) | | [[Hemiluna]] (1789bd) | ||
|- | |- | ||
| " | |||
| 172\1789 | | 172\1789 | ||
| 115.37 | | 115.37 | ||
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| [[Tricesimoprimal miracloid]] | | [[Tricesimoprimal miracloid]] | ||
|- | |- | ||
| " | |||
| 377\1789 | | 377\1789 | ||
| 252.88 | | 252.88 | ||
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| [[Double bastille]] | | [[Double bastille]] | ||
|- | |- | ||
| " | |||
| 576\1789 | | 576\1789 | ||
| 386.36 | | 386.36 | ||
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| [[French decimal]] | | [[French decimal]] | ||
|- | |- | ||
| " | |||
| 754\1789 | | 754\1789 | ||
| 505.76 | | 505.76 | ||
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| [[Pure bastille]] | | [[Pure bastille]] | ||
|- | |- | ||
| " | |||
| 777\1789 | | 777\1789 | ||
| 521.18 | | 521.18 | ||
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| [[Maviloid]] | | [[Maviloid]] | ||
|- | |- | ||
| " | |||
| 778\1789 | | 778\1789 | ||
| 521.86 | | 521.86 | ||
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| [[Estates general]] | | [[Estates general]] | ||
|- | |- | ||
| " | |||
| 822\1789 | | 822\1789 | ||
| 551.37 | | 551.37 | ||
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| [[Onzonic]] | | [[Onzonic]] | ||
|- | |- | ||
| " | |||
| 865\1789 | | 865\1789 | ||
| 580.21 | | 580.21 | ||