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Map of rank-2 temperaments: Difference between revisions

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→Seven periods per octave: Converted this section into table format
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==Seven periods per octave==
==Seven periods per octave==
<ul><li>[[Whitewood]] - Analogue of blackwood. The prime 3 is represented using 7edo, the generator is used for 5.</li><li>[[Jamesbond]]/[[septimal]] - The 5-limit (and in septimal the prime 11) is represented using [[7edo]], and the generator is only used for intervals of 7.</li><li>[[Sevond]] - 10/9 is tempered to be exactly 1\7 of an octave. Therefore 3/2 is 1 generator sharp of a 7edo step and 5/4 is 2 generators sharp.</li><li>[[Absurdity]] - A complex temperament (perhaps "absurdly" so).</li></ul>
{| class="wikitable"
! colspan="9" |Generator!! Cents!!Comments
|-
| 0\7|| || || ||
|
|
|
| ||0||
|-
|
|
|
|
|
|1\91
|
|
|
|13.187
|
|-
|
|
|
|
|
|1\84
|
|
|
|14.286
|[[Absurdity]]
|-
|
|
|
|
|
|
|
|
|4\329
|14.59
|Absurdity
|-
|
|
|
|
|
|
|
|3\245
|
|14.69
|
|-
|
|
|
|
|
|
|2\161
|
|
|14.907
|
|-
|
|
|
|
|
|1\77
|
|
|
|15.584
|
|-
|
|
|
|
|
|1\70
|
|
|
|17.143
|
|-
|
|
|
|
|
|1\63
|
|
|
|19.048
|[[Sevond]]
|-
|
|
|
|
|
|
|2\119
|
|
|20.168
|Sevond
|-
|
|
|
|
|
|1\56
|
|
|
|21.429
|Sevond
|-
|
|
|
|
|
|1\48
|
|
|
|25
|
|-
|
|
|
|
|1\42
|
|
|
|
|28.571
|
|-
|
|
|
|1\35
|
|
|
|
|
|34.286
|[[Whitewood]]
|-
|
|
|
|
| 2\63
|
|
|
|
|38.095
|Whitewood
|-
|
|
| 1\28
|
|
|
|
|
|
|42.857
|Whitewood
|-
|
|
|
|
| 3\77
|
|
|
|
| 46.753
|Whitewood
|-
|
|
|
|2\49
|
|
|
|
|
|48.980
|Whitewood
|-
|
|
|
|
|3\70
|
|
|
|
| 51.429
|Whitewood
|-
|
|1\21
|
|
|
|
|
|
|
|57.143
|Whitewood/[[Jamesbond]]/[[7th-octave temperaments#Septimal|Septimal]]
|-
|
|
|
|
| 4\77
|
|
|
|
|62.338
|Jamesbond/Septimal
|-
|
|
|
|3\56
|
|
|
|
|
|64.286
| Jamesbond/Septimal
|-
|
|
|
|
|5\91
|
|
|
|
|65.934
|Jamesbond/Septimal
|-
|
|
|2\35
|
|
|
|
|
|
| 68.571
|Jamesbond/Septimal
|-
|
|
|
|
|5\84
|
|
|
|
|71.429
|Jamesbond/Septimal
|-
|
|
|
|3\49
|
|
|
|
|
| 73.469
|Jamesbond/Septimal
|-
|
|
|
|
|4\63
|
|
|
|
|76.190
|Jamesbond/Septimal
|-
| 1\14
|
|
|
|
|
|
|
|
|85.714
|Jamesbond/Septimal
|}
==Eight periods per octave==
==Eight periods per octave==
<ul><li>[[Octoid]] - 16-cent generator, sub-cent accuracy.</li></ul>
<ul><li>[[Octoid]] - 16-cent generator, sub-cent accuracy.</li></ul>
Retrieved from "https://en.xen.wiki/w/Map_of_rank-2_temperaments"