35edo: Difference between revisions

m Commas: cleanup
Consolidate rank-2 temps and commas sections
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{{15-odd-limit|35}}
{{15-odd-limit|35}}


== Rank-2 temperaments ==
== Regular temperament properties ==
=== Rank-2 temperaments ===
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Periods
! Periods<br>per 8ve
 
! Generator
per octave
! Temperaments with<br>flat 3/2 (patent val)
! | Generator
! Temperaments with sharp 3/2 (35b val)
! | Temperaments with
! [[Mos scale]]s
 
flat 3/2 (patent val)
! | <span style="display: block; text-align: center;">Temperaments with sharp 3/2 (35b val)</span>
! | [[Mos]] Scales
|-
|-
| | 1
| 1
| | 1\35
| 1\35
| |  
|  
| |  
|  
| |  
|  
|-
|-
| | 1
| 1
| | 2\35
| 2\35
| |  
|  
| |  
|  
| | [[1L 16s]], [[17L 1s]]
| [[1L 16s]], [[17L 1s]]
|-
|-
| | 1
| 1
| | 3\35
| 3\35
| |  
|  
| | [[Ripple|Ripple]]
| [[Ripple]]
| | [[1L 10s]], [[11L 1s]], [[12L 11s]]
| [[1L 10s]], [[11L 1s]], [[12L 11s]]
|-
|-
| | 1
| 1
| | 4\35
| 4\35
| | [[Greenwoodmic_temperaments#Secund|Secund]]
| [[Secund]]
| |  
|  
| | [[1L 7s]], [[8L 1s]], [[9L 8s]], [[9L 17s]]
| [[1L 7s]], [[8L 1s]], [[9L 8s]], [[9L 17s]]
|-
|-
| | 1
| 1
| | 6\35
| 6\35
| colspan="2" | Messed-up [[Subgroup temperaments#Baldy|Baldy]]
| colspan="2" | [[Baldy]] (messed-up)
| | [[1L 4s]], [[5L 1s]], [[6L 5s]], [[6L 11s]], [[6L 17s]], [[6L 23s]]
| [[1L 4s]], [[5L 1s]], [[6L 5s]], [[6L 11s]], [[6L 17s]], [[6L 23s]]
|-
|-
| | 1
| 1
| | 8\35
| 8\35
| |  
|  
| | Messed-up [[Orwell]]
| [[Orwell]] (messed-up)
| | [[1L 3s]], [[4L 1s]], [[4L 5s]], [[9L 4s]], [[13L 9s]]
| [[1L 3s]], [[4L 1s]], [[4L 5s]], [[9L 4s]], [[13L 9s]]
|-
|-
| | 1
| 1
| | 9\35
| 9\35
| | [[Myna|Myna]]
| [[Myna]]
| |  
|  
| | [[1L 3s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], etc ... [[4L 27s]]
| [[1L 3s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], …, [[4L 27s]]
|-
|-
| | 1
| 1
| | 11\35
| 11\35
| | [[Muggles]]
| [[Muggles]]
| |  
|  
| | [[3L 1s]], [[3L 4s]], [[3L 7s]] [[3L 10s]], [[3L 13s]], [[16L 3s]]
| [[3L 1s]], [[3L 4s]], [[3L 7s]] [[3L 10s]], [[3L 13s]], [[16L 3s]]
|-
|-
| | 1
| 1
| | 12\35
| 12\35
| |  
|  
| | [[Avicennmic_temperaments#Roman|Roman]]
| [[Roman]]
| | [[2L 1s]], [[3L 2s]], [[3L 5s]], [[3L 8s]], [[3L 11s]], [[3L 14s]], [[3L 17s]], [[3L 20s]], etc ... [[3L 29s]]
| [[2L 1s]], [[3L 2s]], [[3L 5s]], [[3L 8s]], [[3L 11s]], [[3L 14s]], [[3L 17s]], [[3L 20s]], …, [[3L 29s]]
|-
|-
| | 1
| 1
| | 13\35
| 13\35
| colspan="2" | Inconsistent 2.9'/7.5/3 [[Sensi]]
| colspan="2" | Inconsistent 2.9'/7.5/3 [[sensi]]
| | [[2L 1s]], [[3L 2s]], [[3L 5s]], [[8L 3s]], [[8L 11s]], [[8L 19s]]
| [[2L 1s]], [[3L 2s]], [[3L 5s]], [[8L 3s]], [[8L 11s]], [[8L 19s]]
|-
|-
| | 1
| 1
| | 16\35
| 16\35
| |  
|  
| |  
|  
| | [[2L 1s]], [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[11L 2s]], [[11L 13s]]
| [[2L 1s]], [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[11L 2s]], [[11L 13s]]
|-
|-
| | 1
| 1
| | 17\35
| 17\35
| |  
|  
| |  
|  
| | [[2L 1s]], [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[2L 11s]], [[2L 13s]], [[2L 15s]], [[2L 17s]], [[2L 19s]] etc ... [[2L 31s]]
| [[2L 1s]], [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[2L 11s]], [[2L 13s]], [[2L 15s]], [[2L 17s]], [[2L 19s]], …, [[2L 31s]]
|-
|-
| | 5
| 5
| | 1\35
| 1\35
| |  
|  
| | [[Blackwood]] (favoring 7/6)
| [[Blackwood]] (favoring 7/6)
| | [[5L 5s]], [[5L 10s]], [[5L 15s]], [[5L 20s]], [[5L 25s]]
| [[5L 5s]], [[5L 10s]], [[5L 15s]], [[5L 20s]], [[5L 25s]]
|-
|-
| | 5
| 5
| | 2\35
| 2\35
| |  
|  
| | [[Blackwood]] (favoring 6/5 and 20/17)
| [[Blackwood]] (favoring 6/5 and 20/17)
| | [[5L 5s]], [[5L 10s]], [[15L 5s]]
| [[5L 5s]], [[5L 10s]], [[15L 5s]]
|-
|-
| | 5
| 5
| | 3\35
| 3\35
| |  
|  
| | [[Blackwood]] (favoring 5/4 and 17/14)
| [[Blackwood]] (favoring 5/4 and 17/14)
| | [[5L 5s]], [[10L 5s]], [[10L 15s]]
| [[5L 5s]], [[10L 5s]], [[10L 15s]]
|-
|-
| | 7
| 7
| | 1\35
| 1\35
| | [[Apotome_family|Whitewood]]/[[Apotome_family#Redwood|Redwood]]
| [[Whitewood]] / [[redwood]]
| |  
|  
| | [[7L 7s]], [[7L 14s]], [[7L 21s]]
| [[7L 7s]], [[7L 14s]], [[7L 21s]]
|-
|-
| | 7
| 7
| | 2\35
| 2\35
| | [[Greenwoodmic_temperaments#Greenwood|Greenwood]]
| [[Greenwood]]
| |  
|  
| | [[7L 7s]], [[14L 7s]]
| [[7L 7s]], [[14L 7s]]
|}
|}


== Scales ==
=== Commas ===
* A good place to start using 35-EDO is with the sub-diatonic scale, that is a [[MOS]] of 3L2s: 9 4 9 9 4.
* Also available is the amulet scale{{idiosyncratic}}, approximated from [[magic]] in [[25edo]]: 3 1 3 3 1 3 4 3 3 1 3 4 3
 
== Commas ==
35et [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 35 55 81 98 121 130 }}.)
35et [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 35 55 81 98 121 130 }}.)


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|}
<references/>
<references/>
== Scales ==
* A good place to start using 35-EDO is with the sub-diatonic scale, that is a [[MOS]] of 3L2s: 9 4 9 9 4.
* Also available is the amulet scale{{idiosyncratic}}, approximated from [[magic]] in [[25edo]]: 3 1 3 3 1 3 4 3 3 1 3 4 3


== Instruments ==
== Instruments ==