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Temperaments for MOS shapes: Difference between revisions

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== 7edo ==
== 7edo ==
=== 5-limit ===
=== 5-limit ===
1L6s <<3 5 1|| [[porcupine]] 250/243
{| class="wikitable center-1"
 
|-
2L5s <<1 -3 -7|| [[mavila]] 135/128
! Mos !! Temperament !! Comma list
 
|-
3L4s <<2 1 -3|| [[dicot]] 25/24
| 1L 6s || [[Porcupine]] || 250/243
 
|-
4L3s <<5 6 -2|| [[sixix]] 3125/2916
| 2L 5s || [[Mavila]] || 135/128
 
|-
5L2s <<1 4 4|| [[meantone]] 81/80
| 3L 4s || [[Dicot]] || 25/24
 
|-
6L1s <<3 -2 -10|| [[enipucrop]] 1125/1024
| 4L 3s || [[Sixix]] || 3125/2916
|-
| 5L 2s || [[Meantone]] || 81/80
|-
| 6L 1s || [[Enipucrop]] || 1125/1024
|}


=== 7-limit patent ===
=== 7-limit patent ===
1L6s <<3 5 1 1 -7 -12|| [[hystrix]] {36/35, 160/147}
{| class="wikitable center-1"
 
|-
2L5s <<1 -3 -2 -7 -6 4|| {15/14, 64/63}
! Mos !! Temperament !! Comma list
 
|-
3L4s <<2 1 -4 -3 -12 -12|| [[dichotic]] {25/24, 64/63}
| 1L 6s || [[Hystrix]] || 36/35, 160/147
 
|-
4L3s <<2 1 3 -3 -1 4|| [[dicot]] {15/14, 25/24}
| 2L 5s || [[Medusa]] || 15/14, 64/63
 
|-
5L2s <<1 4 -2 4 -6 -16|| [[Dominant (temperament)|dominant]] {36/35, 64/63}
| 3L 4s || [[Dichotic]] || 25/24, 64/63
 
|-
6L1s <<3 -2 1 -10 -7 8|| {15/14, 256/245}
| 4L 3s || [[Dicot]] || 15/14, 25/24
|-
| 5L 2s || [[Dominant (temperament)|Dominant]] || 36/35, 64/63
|-
| 6L 1s ||  || 15/14, 256/245
|}


=== 7d ===
=== 7d ===
1L6s <<3 5 2 1 -5 -9|| [[oxygen]] {21/20, 175/162}
{| class="wikitable center-1"
 
|-
2L5s <<1 -3 -4 -7 -9 -1|| [[pelogic]] {21/20, 135/128}
! Mos !! Temperament !! Comma list
 
|-
3L4s <<2 1 6 -3 4 11|| [[sharp]] {25/24, 28/27}
| 1L 6s || [[Oxygen]] || 21/20, 175/162
 
|-
4L3s <<2 1 -1 -3 -7 -5|| [[flat]] {21/20, 25/24}
| 2L 5s || [[Pelogic]] || 21/20, 135/128
 
|-
5L2s <<1 4 3 4 2 -4|| [[sharptone]] {21/20, 28/27}
| 3L 4s || [[Sharpie]] || 25/24, 28/27
 
|-
6L1s <<4 2 5 -6 -3 6|| {25/24, 49/45}
| 4L 3s || [[Flattie]] || 21/20, 25/24
|-
| 5L 2s || [[Sharptone]] || 21/20, 28/27
|-
| 6L 1s ||  || 25/24, 49/45
|}


== 8edo ==
== 8edo ==
=== 5-limit ===
=== 5-limit ===
1L7s <<5 3 -7|| [[progression]] 3456/3125
{| class="wikitable center-1"
 
|-
2L6s <<2 6 5|| [[supersharp]] 800/729  
! Mos !! Temperament !! Comma list
 
|-
3L5s <<7 9 -2|| [[sensi]] 78732/78125
| 1L 7s || [[Progression]] || 3456/3125
 
|-
4L4s <<4 4 -3|| [[diminished]] 648/625
| 2L 6s || [[Supersharp]] || 800/729  
 
|-
5L3s <<1 -1 -4|| [[father]] 16/15
| 3L 5s || [[Sensipent]] || 78732/78125
 
|-
6L2s <<6 2 -11|| 18432/15625
| 4L 4s || [[Diminished (temperament)|Diminished]] || 648/625
 
|-
7L1s <<3 5 1|| [[porcupine]] 250/243
| 5L 3s || [[Father]] || 16/15
|-
| 6L 2s ||  || 18432/15625
|-
| 7L 1s || [[Porcupine]] || 250/243
|}


=== 7-limit 8d ===
=== 7-limit 8d ===
1L7s <<5 3 7 -7 -3 8|| [[progression]] {36/35, 392/375}
{| class="wikitable center-1"
 
|-
2L6s <<2 -2 -2 -8 -9 1|| [[walid]] {16/15, 50/49}
! Mos !! Temperament !! Comma list
 
|-
3L5s <<1 -1 -5 -4 -11 -9|| [[pater]] {16/15, 126/125}
| 1L 7s || [[Progression]] || 36/35, 392/375
 
|-
4L4s <<4 4 4 -3 -5 -2|| [[diminished]] {36/35, 50/49}
| 2L 6s || [[Walid]] || 16/15, 50/49
 
|-
5L3s <<1 -1 3 -4 2 10|| [[father]] {16/15, 28/27}
| 3L 5s || [[Pater]] || 16/15, 126/125
 
|-
6L2s <<6 2 2 -11 -14 -1|| {50/49, 192/175}
| 4L 4s || [[Diminished (temperament)|Diminished]] || 36/35, 50/49
 
|-
7L1s <<3 5 1 1 -7 -12|| [[hystrix]] {36/35, 160/147}
| 5L 3s || [[Father]] || 16/15, 28/27
|-
| 6L 2s ||  || 50/49, 192/175
|-
| 7L 1s || [[Hystrix]] || 36/35, 160/147
|}


== 9edo ==
== 9edo ==
=== 5-limit ===
=== 5-limit ===
1L8s <<4 -3 -14|| [[negri]] 16875/16384
{| class="wikitable center-1"
 
|-
2L7s <<1 6 -7|| [[avila]] 729/640
! Mos !! Temperament !! Comma list
 
|-
3L6s <<3 0 -7|| [[augmented]] 128/125
| 1L 8s || [[Negri]] || 16875/16384
 
|-
4L5s <<7 6 -7|| 93312/78125
| 2L 7s || [[Avila]] || 729/640
 
|-
5L4s <<2 3 0|| [[bug]] 27/25
| 3L 6s || [[Augmented (temperament)|Augmented]] || 128/125
 
|-
6L3s <<3 9 7|| 19683/16000
| 4L 5s ||  || 93312/78125
 
|-
7L2s <<1 -3 -7|| [[mavila]] 135/128
| 5L 4s || [[Bug]] || 27/25
 
|-
8L1s <<5 3 -7|| [[progression]] 3456/3125
| 6L 3s ||  || 19683/16000
|-
| 7L 2s || [[Mavila]] || 135/128
|-
| 8L 1s || [[Progression]] || 3456/3125
|}


=== 7-limit ===
=== 7-limit ===
1L8s <<4 -3 2 -14 -8 13|| [[negri]] {49/48, 225/224}
{| class="wikitable center-1"
 
|-
2L7s <<1 6 5 7 5 -5|| {21/20, 243/224}
! Mos !! Temperament !! Comma list
 
|-
3L6s <<3 0 6 -7 1 14|| [[august]] {36/35, 128/125}
| 1L 8s || [[Negri]] || 49/48, 225/224
 
|-
4L5s <<7 6 8 -7 -7 2|| {36/35, 686/625}
| 2L 7s ||  || 21/20, 243/224
 
|-
5L4s <<2 3 1 0 -4 -6|| [[beep]] {21/20, 27/25}
| 3L 6s || [[August]] || 36/35, 128/125
 
|-
6L3s <<3 9 6 7 1 -11|| {21/20, 729/686}
| 4L 5s ||  || 36/35, 686/625
 
|-
7L2s <<1 -3 -4 -7 -9 -1|| [[pelogic]] {21/20, 135/128}
| 5L 4s || [[Beep]] || 21/20, 27/25
 
|-
8L1s <<5 3 7 -7 -3 8|| [[progression]] {36/35, 392/375}  
| 6L 3s ||  || 21/20, 729/686
|-
| 7L 2s || [[Pelogic]] || 21/20, 135/128
|-
| 8L 1s || [[Progression]] || 36/35, 392/375
|}


== 10edo ==
== 10edo ==
=== 5-limit ===
=== 5-limit ===
1L9s <<4 7 2|| 2500/2187
{| class="wikitable center-1"
 
|-
2L8s <<2 -4 -11|| [[srutal]] 2048/2025
! Mos !! Temperament !! Comma list
 
|-
3L7s <<2 11 13|| 204800/177147
| 1L 9s ||  || 2500/2187
 
|-
4L6s <<14 12 -13|| 6103515625/4353564672
| 2L 8s || [[Diaschismic]] || 2048/2025
 
|-
5L5s <<0 5 8|| [[blackwood]] 256/243
| 3L 7s ||  || 204800/177147
 
|-
6L4s <<6 8 -1|| 15625/13122
| 4L 6s ||  || 6103515625/4353564672
 
|-
7L3s <<2 1 -3|| [[dicot]] 25/24
| 5L 5s || [[Blackwood]] || 256/243
 
|-
8L2s <<2 6 5|| [[supersharp]] 800/729
| 6L 4s ||  || 15625/13122
 
|-
9L1s <<4 -3 -14|| [[negri]] 16875/16384
| 7L 3s || [[Dicot]] || 25/24
|-
| 8L 2s || [[Supersharp]] || 800/729
|-
| 9L 1s || [[Negri]] || 16875/16384
|}


=== 7-limit ===
=== 7-limit ===
1L9s <<4 7 2 2 -8 -15|| {49/48, 175/162}
{| class="wikitable center-1"
 
|-
2L8s <<2 -4 -4 -11 -12 2|| [[pajara]] {50/49, 64/63}
! Mos !! Temperament !! Comma list
 
|-
3L7s <<2 11 6 13 4 -17|| {28/27, 2401/2400}
| 1L 9s ||  || 49/48, 175/162
 
|-
4L6s <<4 2 2 -6 -8 -1|| [[decimal]] {25/24, 49/48}
| 2L 8s || [[Pajara]] || 50/49, 64/63
 
|-
5L5s  <<0 5 0 8 0 -14|| [[blacksmith]] {28/27, 49/48}
| 3L 7s ||  || 28/27, 2401/2400
 
|-
6L4s <<6 8 8 -1 -4 -4|| {50/49, 175/162}
| 4L 6s || [[Decimal]] || 25/24, 49/48
 
|-
7L3s <<2 1 6 -3 4 11|| [[sharp]] {25/24, 28/27}
| 5L 5s || [[Blackwood]] || 28/27, 49/48
 
|-
8L2s <<2 6 6 5 4 -3|| [[octokaidecal]] {28/27, 50/49}
| 6L 4s ||  || 50/49, 175/162
 
|-
9L1s <<4 -3 2 -14 -8 13|| [[negri]] {49/48, 225/224}
| 7L 3s || [[Sharpie]] || 25/24, 28/27
|-
| 8L 2s || [[Octokaidecal]] || 28/27, 50/49
|-
| 9L 1s || [[Negri]] || 49/48, 225/224
|}


=== 11-limit ===
=== 11-limit ===
1L9s <<4 7 2 5 2 -8 -6 -15 -13 7|| {35/33, 49/48, 55/54}
{| class="wikitable center-1"
 
|-
2L8s <<2 -4 6 0 -11 4 -7 25 14 -21|| {28/27, 35/33, 128/121}
! Mos !! Temperament !! Comma list
 
|-
3L7s <<2 1 -4 -5 -3 -12 -15 -12 -15 0|| [[dichosis]] {25/24, 35/33, 64/63}
| 1L 9s ||  || 35/33, 49/48, 55/54
 
|-
4l6s <<4 2 2 0 -6 -8 -14 -1 -7 -7|| [[decibel]] {25/24, 35/33, 49/48}
| 2L 8s ||  || 28/27, 35/33, 128/121
 
|-
5L5s <<0 5 0 5 8 0 8 -14 -6 14|| [[ferrum]] {28/27, 35/33, 49/48}
| 3L 7s || [[Dichosis]] || 25/24, 35/33, 64/63
 
|-
6L4s <<6 8 8 10 -1 -4 -5 -4 -5 0|| {35/33, 50/49, 55/54}
| 4L 6s || [[Decibel]] || 25/24, 35/33, 49/48
 
|-
7L3s <<2 1 6 5 -3 4 1 11 8 -7|| [[sharp]] {25/24, 28/27, 35/33}
| 5L 5s || [[Ferrum]] || 28/27, 35/33, 49/48
 
|-
8L2s <<2 6 6 10 5 4 9 -3 2 7|| {28/27, 35/33, 50/49}
| 6L 4s ||  || 35/33, 50/49, 55/54
 
|-
9L1s <<4 -3 2 5 -14 -8 -6 13 22 7|| [[negri]] {45/44, 49/48, 56/55}
| 7L 3s || [[Sharpie]] || 25/24, 28/27, 35/33
|-
| 8L 2s || || 28/27, 35/33, 50/49
|-
| 9L 1s || [[Negri]] || 45/44, 49/48, 56/55
|}


== 11edo ==
== 11edo ==
=== 5-limit 11b ===
=== 5-limit 11b ===
1L10s <<7 4 -10|| 82944/78125
{| class="wikitable center-1"
 
|-
2L9s <<3 8 6|| 8000/6561
! Mos !! Temperament !! Comma list
 
|-
3L8s <<10 1 -22|| 12582912/9765625
| 1L 10s ||  || 82944/78125
 
|-
4L7s <<6 5 -6|| [[hanson]] 15625/15552
| 2L 9s ||  || 8000/6561
 
|-
5L6s <<2 9 10|| 25600/19683
| 3L 8s ||  || 12582912/9765625
 
|-
6L5s <<9 2 -18|| 2359296/1953125
| 4L 7s || [[Hanson]] || 15625/15552
 
|-
7L4s <<5 6 -2|| [[sixix]] 3125/2916
| 5L 6s ||  || 25600/19683
 
|-
8L3s <<1 10 14|| 81920/59049
| 6L 5s ||  || 2359296/1953125
 
|-
9L2s <<8 3 -14|| 442368/390625
| 7L 4s || [[Sixix]] || 3125/2916
 
|-
10L1s <<4 7 2|| 2500/2187
| 8L 3s ||  || 81920/59049
|-
| 9L 2s ||  || 442368/390625
|-
| 10L 1s ||  || 2500/2187
|}


=== 5-limit 11c ===
=== 5-limit 11c ===
1L10s <<5 8 1|| [[ripple]] 6561/6250
{| class="wikitable center-1"
 
|-
2L9s <<1 -5 -10|| 1215/1024
! Mos !! Temperament !! Comma list
 
|-
3L8s <<4 13 11|| 1594323/1280000
| 1L 10s || [[Ripple]] || 6561/6250
 
|-
4L7s <<9 10 -5|| 1953125/1889568
| 2L 9s ||  || 1215/1024
 
|-
5L6s <<3 7 4|| [[laconic]] 2187/2000
| 3L 8s ||  || 1594323/1280000
 
|-
6L5s <<8 15 5|| 14348907/12500000
| 4L 7s ||  || 1953125/1889568
 
|-
7L4s <<13 12 -11|| 1220703125/1088391168
| 5L 6s || [[Laconic]] || 2187/2000
 
|-
8L3s <<7 9 -2|| [[sensi]] 78732/78125
| 6L 5s ||  || 14348907/12500000
 
|-
9L2s <<1 6 7|| [[avila]] 729/640
| 7L 4s ||  || 1220703125/1088391168
 
|-
10L1s <<5 -14 -33|| 14946778125/8589934592
| 8L 3s || [[Sensipent]] || 78732/78125
|-
| 9L 2s || [[Avila]] || 729/640
|-
| 10L 1s ||  || 14946778125/8589934592
|}


[[Category:Lists of temperaments]]
[[Category:Lists of temperaments]]
[[Category:MOS scale]]
[[Category:MOS scale]]
{{Todo| cleanup }}
Retrieved from "https://en.xen.wiki/w/Temperaments_for_MOS_shapes"