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Map of rank-2 temperaments: Difference between revisions

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BudjarnLambeth (talk | contribs)
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21,573 edits
Made six periods per octave section into table
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==Six periods per octave ==
==Six periods per octave ==
<ul><li>[[Hexe]] - The 2.5.7 subgroup is represented using [[6edo]], and the generator gets you to 4/3 and 3/2. Makes little sense not to additionally temper down to [[12edo]].</li></ul>
{| class="wikitable"
! colspan="5" |Generator!!Cents !!Comments
|-
|0\6|| || || || ||0||
|-
|
|
|
|
|1\36
|33.333
|
|-
|
|
|
|1\30
|
|40
|
|-
|
|
|
|
|2\54
|44.444
|
|-
|
|
|1\24
|
|
|50
|
|-
|
|
|
|
|3\66
|54.545
|
|-
|
|
|
|2\42
|
| 57.143
|
|-
|
|
|
|
|3\60
|60
|
|-
|
|1\18
|
|
|
| 66.667
|
|-
|
|
|
|
|4\66
|72.727
|
|-
|
|
|
|3\48
|
| 75
|
|-
|
|
|
|
|5\78
|76.923
|
|-
|
|
|2\30
|
|
| 80
|[[Hexe]]
|-
|
|
|
|
|5\72
|83.333
|Hexe
|-
|
|
|
|3\42
|
|85.714
| Hexe
|-
|
|
|
|
|4\54
|88.889
|Hexe
|-
|1\12
|
|
|
|
| 100
|Hexe
|}
==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>
<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>
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