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User:BudjarnLambeth/Draft related tunings section: Difference between revisions

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18,236 edits
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* In total, 5 to 7 tunings should be listed.  
* In total, 5 to 7 tunings should be listed.  
* The selection of tunings should include at least one stretched tuning and at least one compressed tuning.
* The selection of tunings should include at least one stretched tuning and at least one compressed tuning.
* The selection of tunings should be different enough from one another that they include at least 3 different possible mappings for at least one prime.
* The most stretched tuning should have +15% to +25% relative error in prime 2, the most compressed should have -15 to -25%, and all the other tunings should cover a wide range of possible tunings in between.
* The selection of tunings should be different enough from one another that they include at least 2 different possible mappings for at least three primes.
* No tunings should be included where the octave has more than 10 cents error.




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{| class="wikitable sortable center-all"
{| class="wikitable sortable center-all"
! rowspan="2" | Tuning !! rowspan="2" | Step size<br>(cents) !! colspan="5" | Error (% step size) !! colspan="5" | Mapping (# steps)  
! rowspan="2" | Tuning !! rowspan="2" | Step size<br>(cents) !! colspan="6" | Prime error (% step size) !! colspan="6" | Prime mapping (steps)  
|-
|-
! Prime 2 !! Prime 3 !! Prime 5 !! Prime 7 !! Prime 11 !! Prime 2 !! Prime 3 !! Prime 5 !! Prime 7 !! Prime 11
! 2 !! 3 !! 5 !! 7 !! 11  
!13!! 2 !! 3 !! 5 !! 7 !! 11
!13
|-
|-
! 154zpi
! 154zpi
| 33.547 || +23 || +31 || -5 || -41 || +27 || 36 || 57 || 83 || 100 || 124
| 33.547 || +23 || +31 || -5 || -41 || +27  
| || 36 || 57 || 83 || 100 || 124
|
|-
|-
! 57edt
! 57edt
| 33.368 || +4 || 0 || +50 || +5 || -40 || 36 || 57 || 83 || 101 || 124
| 33.368 || +4 || 0 || +50 || +5 || -40  
| || 36 || 57 || 83 || 101 || 124
|
|-
!2.3.7.13 WE
|33.361
|
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|-
! 101ed7
! 101ed7
| 33.355 || +2 || -2 || +46 || 0 || -46 || 36 || 57 || 84 || 101 || 124
| 33.355 || +2 || -2 || +46 || 0 || -46  
| || 36 || 57 || 84 || 101 || 124
|
|-
|-
! 155zpi
! 2.3.7 WE
| 33.350 || +2 || -3 || +45 || -1 || -48 || 36 || 57 || 84 || 101 || 124
| 33.352 || +2 || -3 || +45 || -1 || -48  
| || 36 || 57 || 84 || 101 || 124
|
|-
|-
! 36edo
! 36edo
| '''33.333''' || '''0'''|| '''-6''' || '''+40''' || '''-6''' || '''+46''' || '''36'''|| '''57'''|| '''84'''|| '''101'''|| '''125'''
| '''33.333'''|| '''0'''|| '''-6'''|| '''+40'''|| '''-6'''|| '''+46'''
| || '''36'''|| '''57'''|| '''84'''|| '''101'''|| '''125'''
|
|-
!13lim WE
|33.302
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!11lim WE
|33.286
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|-
|-
! 156zpi
! 156zpi
| 33.152 || -20 || -37 || -5 || +38 || -23 || 36 || 57 || 84 || 102 || 125
| 33.152 || -20 || -37 || -5 || +38 || -23  
| || 36 || 57 || 84 || 102 || 125
|
|}
|}
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