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...you can actually begin to see stuff. In the lattice view on the left, notice how the tetranies take form as tetrahedrons and the hexany as an octahedron. In the cyclical view on the right, you can see how the choose-1 and choose-3 tetranies, the blue and green shapes, are reflections of each other across a vertical line drawn down this circle, as well as how the choose 2 hexany is symmetrical across the same line, and the remaining two notes -  the unison and the aota - are located symmetrically to each other. You could write music with just these CPSs.  
...you can actually begin to see stuff. In the lattice view on the left, notice how the tetranies take form as tetrahedrons and the hexany as an octahedron. In the cyclical view on the right, you can see how the choose-1 and choose-3 tetranies, the blue and green shapes, are reflections of each other across a vertical line drawn down this circle, as well as how the choose 2 hexany is symmetrical across the same line, and the remaining two notes -  the unison and the aota - are located symmetrically to each other. You could write music with just these CPSs.  
== Intervals ==
{| class="wikitable"
|+Yer interval class matrix
!
|'''1'''
|'''13⋅17⋅19'''
|'''17'''
|'''11⋅13'''
|'''11⋅13⋅17'''
|'''19'''
|'''17⋅19'''
|'''11⋅13⋅19'''
|'''11'''
|'''11⋅13⋅17⋅19'''
|'''11⋅17'''
|'''13'''
|'''11⋅19'''
|'''13⋅17'''
|'''11⋅17⋅19'''
|'''13⋅19'''
|-
|'''1'''
|0
|42.9960874
|104.9554095
|191.8456041
|296.8010136
|297.5130161
|402.4684256
|489.3586203
|551.3179424
|594.3140298
|543.7266481
|359.4723382
|351.1690415
|254.5169287
|246.213632
|61.9593221
|-
|'''13⋅17⋅19'''
|
|0
|61.9593221
|148.8495167
|253.8049262
|254.5169287
|359.4723382
|446.3625329
|508.321855
|551.3179424
|586.7227355
|402.4684256
|394.1651289
|297.5130161
|289.2097194
|104.9554095
|-
|'''17'''
|
|
|0
|86.89019463
|191.8456041
|192.5576066
|297.5130161
|384.4032108
|446.3625329
|489.3586203
|551.3179424
|464.4277477
|456.124451
|359.4723382
|351.1690415
|166.9147316
|-
|'''11⋅13'''
|
|
|
|0
|104.9554095
|105.667412
|210.6228215
|297.5130161
|359.4723382
|402.4684256
|464.4277477
|551.3179424
|543.0146456
|446.3625329
|438.0592361
|253.8049262
|-
|'''11⋅13⋅17'''
|
|
|
|
|0
|0.7120024978
|105.667412
|192.5576066
|254.5169287
|297.5130161
|359.4723382
|543.7266481
|552.0299449
|551.3179424
|543.0146456
|358.7603357
|-
|'''19'''
|
|
|
|
|
|0
|104.9554095
|191.8456041
|253.8049262
|296.8010136
|358.7603357
|543.0146456
|551.3179424
|552.0299449
|543.7266481
|359.4723382
|-
|'''17⋅19'''
|
|
|
|
|
|
|0
|86.89019463
|148.8495167
|191.8456041
|253.8049262
|438.0592361
|446.3625329
|543.0146456
|551.3179424
|464.4277477
|-
|'''11⋅13⋅19'''
|
|
|
|
|
|
|
|0
|61.9593221
|104.9554095
|166.9147316
|351.1690415
|359.4723382
|456.124451
|464.4277477
|551.3179424
|-
|'''11'''
|
|
|
|
|
|
|
|
|0
|42.9960874
|104.9554095
|289.2097194
|297.5130161
|394.1651289
|402.4684256
|586.7227355
|-
|'''11⋅13⋅17⋅19'''
|
|
|
|
|
|
|
|
|
|0
|61.9593221
|246.213632
|254.5169287
|351.1690415
|359.4723382
|543.7266481
|-
|'''11⋅17'''
|
|
|
|
|
|
|
|
|
|
|0
|184.2543099
|192.5576066
|289.2097194
|297.5130161
|481.767326
|-
|'''13'''
|
|
|
|
|
|
|
|
|
|
|
|0
|8.303296728
|104.9554095
|113.2587062
|297.5130161
|-
|'''11⋅19'''
|
|
|
|
|
|
|
|
|
|
|
|
|0
|96.65211277
|104.9554095
|289.2097194
|-
|'''13⋅17'''
|
|
|
|
|
|
|
|
|
|
|
|
|
|0
|8.303296728
|192.5576066
|-
|'''11⋅17⋅19'''
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|0
|184.2543099
|-
|'''13⋅19'''
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|0
|}
{| class="wikitable"
|+Yer interval classes
!ratio
!type
!count
!monzo
!cents
!gap between available interval classes
!lower limit interval to nearest in Yer
!cents difference up
!cents different down (to prove how they're right in between
!inverse ratio
!inverse cents
|-
|2431:2432
|3v1
|1
|<nowiki>| 7 0 0 0 -1 -1 -1 1 ></nowiki>
|0.7120024978
|0.7120024978
|
|
|
|
|1199.287998
|-
|208:209
|2v1
|2
|13 -> 11 19
|8.303296728
|7.59129423
|
|
|
|
|1191.696703
|-
|4096:4199
|3v0
|2
|1 -> 13 17 19
|42.9960874
|34.69279067
|48:49
|35.69681207 -
|35.69681207 -
|
|1157.003913
|-
|247:256
|2v0
|4
|13 19
|61.9593221
|18.9632347
|24:25
|70.67242686 -
|70.67242686 -
|
|1138.040678
|-
|136:143
|2v1
|2
|17 : 11 13
|86.89019463
|24.93087253
|20:21
|84.46719347 -
|84.46719347 -
|
|1113.109805
|-
|209:221
|2v2
|1
|11 19 : 13 17
|96.65211277
|9.76191814
|
|
|
|
|1103.347887
|-
|16:17
|1v0
|8
|16:17
|104.9554095
|8.30329673
|
|
|
|
|1095.044591
|-
|143:152
|2v1
|2
|11 13 : 19
|105.667412
|0.7120025
|
|
|
|
|1094.332588
|-
|3328:3553
|3v1
|1
|13 : 11 17 19
|113.2587062
|7.5912942
|15:16, 15:14
|111.7312853 -, 119.4428083 -
|111.7312853 -, 119.4428083 -
|
|1086.741294
|-
|323:352
|2v1
|2
|11 : 17 19
|148.8495167
|35.5908105
|32:35
|155.1396203 -
|155.1396203 -
|
|1051.150483
|-
|247:272
|2v1
|2
|17 : 13 19
|166.9147316
|18.0652149
|
|
|
|
|1033.085268
|-
|187:208
|2v1
|2
|13 : 11 17
|184.2543099
|17.3395783
|9:10
|182.4037121 -
|182.4037121 -
|
|1015.74569
|-
|128:143
|2v0
|4
|1 : 11 13
|191.8456041
|7.5912942
|
|
|
|
|1008.154396
|-
|17:19
|1v1
|4
|17:19
|192.5576066
|0.7120025
|25:28
|196.1984787 -
|196.1984787 -
|
|1007.442393
|-
|286:323
|2v2
|1
|11 13 : 17 19
|210.6228215
|18.0652149
|8:9
|203.9100017 -
|203.9100017 -
|
|989.3771785
|-
|3553:4096
|3v0
|2
|1 : 11 17 19
|246.213632
|35.5908105
|7:8
|231.174094 -
|231.174094 -
|
|953.786368
|-
|19:22
|1v1
|4
|19 : 11
|253.8049262
|7.5912942
|
|
|
|
|946.1950738
|-
|221:256
|2v0
|4
|13 17
|254.5169287
|0.7120025
|7:6
|266.870906 -
|266.870906 -
|
|945.4830713
|-
|11:13
|1v1
|4
|11:13
|289.2097194
|34.6927907
|
|
|
|
|910.7902806
|-
|2048:2431
|3v0
|2
|11 13 17
|296.8010136
|7.5912942
|
|
|
|
|903.1989864
|-
|16:19
|1v0
|8
|
|297.5130161
|0.7120025
|5:6
|315.641287 -
|315.641287 -
|
|902.4869839
|-
|209:256
|2v0
|4
|11 19
|351.1690415
|53.6560254
|40:49
|351.3380991 -
|351.3380991 -
|
|848.8309585
|-
|152:187
|2v1
|2
|11 17 : 19
|358.7603357
|7.5912942
|
|
|
|
|841.2396643
|-
|13:16
|1v0
|8
|13:16
|359.4723382
|0.7120025
|
|
|
|
|840.5276618
|-
|2176:2717
|3v1
|1
|(11*13*19)/(17*2^7)
|384.4032108
|24.9308726
|4:5
|386.313714 -
|386.313714 -
|
|815.5967892
|-
|176:221
|2v1
|2
|11 : 13 17
|394.1651289
|9.7619181
|
|
|
|
|805.8348711
|-
|256:323
|2v0
|4
|17 19
|402.4684256
|8.3032967
|
|
|
|
|797.5315744
|-
|323:416
|3v0
|2
|17 19 13
|438.0592361
|35.5908105
|7:9, 25:32
|435.0840953 -, 427.3725723 -
|435.0840953 -, 427.3725723 -
|
|761.9407639
|-
|17:22
|1v1
|4
|17 11
|446.3625329
|8.3032968
|
|
|
|
|753.6374671
|-
|209:272
|2v1
|2
|17 : 11 19
|456.124451
|9.7619181
|
|
|
|
|743.875549
|-
|13:17
|1v1
|4
|
|464.4277477
|8.3032967
|16:21, 49:64
|470.7809073 -, 462.3481871-
|470.7809073 -, 462.3481871-
|
|735.5722523
|-
|187:247
|2v2
|1
|11 17 : 13 19
|481.767326
|17.3395783
|
|
|
|
|718.232674
|-
|2048:2717
|2v1
|2
|11 13 19
|489.3586203
|7.5912943
|3:4
|498.044999 -
|498.044999 -
|
|710.6413797
|-
|4199:5632
|3v1
|1
|(11*2^9)/(13*17*19)
|508.321855
|18.9632347
|
|
|
|
|691.678145
|-
|19:26
|1v1
|4
|19:26
|543.0146456
|34.6927906
|
|
|
|
|656.9853544
|-
|187:256
|2v0
|4
|11 17
|543.7266481
|0.7120025
|35:48
|546.8153805 -
|546.8153805 -
|
|656.2733519
|-
|8:11
|1v0
|8
|8:11
|551.3179424
|7.5912943
|
|
|
|
|648.6820576
|-
|221:304
|2v1
|2
|13 17 : 19
|552.0299449
|0.7120025
|
|
|
|
|647.9700551
|-
|176:247
|2v1
|2
|13 19
|586.7227355
|34.6927906
|5:7
|582.512193 -
|582.512193 -
|
|613.2772645
|-
|32768:46189
|4v0
|1
|<nowiki>| 15 0 0 0 1 1 1 1 ></nowiki>
|594.3140298
|7.5912943
|
|
|
|
|605.6859702
|}


== Scala file ==
== Scala file ==
Retrieved from "https://en.xen.wiki/w/Yer"