Mabila family: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings
- POTE tunings
Line 15: Line 15:
* [[CWE]]: ~2 = 1200.0000{{c}}, ~375/256 = 670.2921{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~375/256 = 670.2921{{c}}
: error map: {{val| -0.646 +0.173 +1.240 }}
: error map: {{val| -0.646 +0.173 +1.240 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~375/256 = 670.315{{c}} -->


{{Optimal ET sequence|legend=1| 9, 25, 34, 77, 111, 145, 256c }}
{{Optimal ET sequence|legend=1| 9, 25, 34, 77, 111, 145, 256c }}
Line 37: Line 36:
* [[CWE]]: ~2 = 1200.0000{{c}}, ~112/75 = 670.3712{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~112/75 = 670.3712{{c}}
: error map: {{val| 0.000 +1.757 +2.573 -16.970 }}
: error map: {{val| 0.000 +1.757 +2.573 -16.970 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~112/75 = 670.333{{c}} -->


{{Optimal ET sequence|legend=1| 9, 25, 34 }}
{{Optimal ET sequence|legend=1| 9, 25, 34 }}
Line 53: Line 51:
* WE: ~2 = 1200.2248{{c}}, ~22/15 = 670.3965{{c}}
* WE: ~2 = 1200.2248{{c}}, ~22/15 = 670.3965{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.2804{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.2804{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~22/15 = 670.271{{c}} -->


{{Optimal ET sequence|legend=0| 9, 25e, 34 }}
{{Optimal ET sequence|legend=0| 9, 25e, 34 }}
Line 69: Line 66:
* WE: ~2 = 1200.1265{{c}}, ~22/15 = 670.3078{{c}}
* WE: ~2 = 1200.1265{{c}}, ~22/15 = 670.3078{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.2429{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.2429{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~22/15 = 670.237{{c}} -->


{{Optimal ET sequence|legend=0| 9, 25e, 34 }}
{{Optimal ET sequence|legend=0| 9, 25e, 34 }}
Line 85: Line 81:
* WE: ~2 = 1199.8798{{c}}, ~22/15 = 670.2382{{c}}
* WE: ~2 = 1199.8798{{c}}, ~22/15 = 670.2382{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.3021{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.3021{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~22/15 = 670.305{{c}} -->


{{Optimal ET sequence|legend=0| 9, 25e, 34 }}
{{Optimal ET sequence|legend=0| 9, 25e, 34 }}
Line 101: Line 96:
* WE: ~2 = 1200.4164{{c}}, ~22/15 = 670.4966{{c}}
* WE: ~2 = 1200.4164{{c}}, ~22/15 = 670.4966{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.2749{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.2749{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~22/15 = 670.264{{c}} -->


{{Optimal ET sequence|legend=0| 9, 25e, 34 }}
{{Optimal ET sequence|legend=0| 9, 25e, 34 }}
Line 121: Line 115:
* [[CWE]]: ~2 = 1200.0000{{c}}, ~35/24 = 669.9710{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~35/24 = 669.9710{{c}}
: error map: {{val| 0.000 -2.245 +3.773 +10.768 }}
: error map: {{val| 0.000 -2.245 +3.773 +10.768 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~35/24 = 670.021{{c}} -->


{{Optimal ET sequence|legend=1| 9, 25d, 34d, 43, 77d }}
{{Optimal ET sequence|legend=1| 9, 25d, 34d, 43, 77d }}
Line 137: Line 130:
* WE: ~2 = 1198.5522{{c}}, ~22/15 = 669.2176{{c}}
* WE: ~2 = 1198.5522{{c}}, ~22/15 = 669.2176{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 669.9619{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 669.9619{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~22/15 = 670.026{{c}} -->


{{Optimal ET sequence|legend=0| 9, 25de, 34d, 43, 77de }}
{{Optimal ET sequence|legend=0| 9, 25de, 34d, 43, 77de }}
Line 153: Line 145:
* WE: ~2 = 1198.7386{{c}}, ~22/15 = 669.3449{{c}}
* WE: ~2 = 1198.7386{{c}}, ~22/15 = 669.3449{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 669.9903{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 669.9903{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~22/15 = 670.049{{c}} -->


{{Optimal ET sequence|legend=0| 9, 25de, 34d, 43, 77de }}
{{Optimal ET sequence|legend=0| 9, 25de, 34d, 43, 77de }}
Line 169: Line 160:
* WE: ~2 = 1198.7648{{c}}, ~22/15 = 669.3533{{c}}
* WE: ~2 = 1198.7648{{c}}, ~22/15 = 669.3533{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.0080{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 670.0080{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~22/15 = 670.043{{c}} -->


{{Optimal ET sequence|legend=0| 9, 25de, 34d, 43, 77de }}
{{Optimal ET sequence|legend=0| 9, 25de, 34d, 43, 77de }}
Line 185: Line 175:
* WE: ~2 = 1198.5939{{c}}, ~22/15 = 669.2282{{c}}
* WE: ~2 = 1198.5939{{c}}, ~22/15 = 669.2282{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 669.9712{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 669.9712{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~22/15 = 670.013{{c}} -->


{{Optimal ET sequence|legend=0| 9, 34dh, 43, 77deh }}
{{Optimal ET sequence|legend=0| 9, 34dh, 43, 77deh }}
Line 203: Line 192:
* [[CWE]]: ~2 = 1200.0000{{c}}, ~375/256 = 670.2172{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~375/256 = 670.2172{{c}}
: error map: {{val| 0.000 +0.217 +3.035 +1.597 }}
: error map: {{val| 0.000 +0.217 +3.035 +1.597 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~375/256 = 670.228{{c}} -->


{{Optimal ET sequence|legend=1| 34d, 77, 111, 188, 299cd, 487ccd }}
{{Optimal ET sequence|legend=1| 34d, 77, 111, 188, 299cd, 487ccd }}
Line 219: Line 207:
* WE: ~2 = 1199.4934{{c}}, ~165/112 = 669.9677{{c}}
* WE: ~2 = 1199.4934{{c}}, ~165/112 = 669.9677{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~165/112 = 670.2405{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~165/112 = 670.2405{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~165/112 = 670.251{{c}} -->


{{Optimal ET sequence|legend=0| 34d, 77, 111 }}
{{Optimal ET sequence|legend=0| 34d, 77, 111 }}
Line 235: Line 222:
* WE: ~2 = 1199.4539{{c}}, ~96/65 = 669.9476{{c}}
* WE: ~2 = 1199.4539{{c}}, ~96/65 = 669.9476{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~96/65 = 670.2425{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~96/65 = 670.2425{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~96/65 = 670.253{{c}} -->


{{Optimal ET sequence|legend=0| 34d, 77, 111 }}
{{Optimal ET sequence|legend=0| 34d, 77, 111 }}
Line 251: Line 237:
* WE: ~2 = 1199.3885{{c}}, ~25/17 = 669.9167{{c}}
* WE: ~2 = 1199.3885{{c}}, ~25/17 = 669.9167{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/17 = 670.2500{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/17 = 670.2500{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~25/17 = 670.258{{c}} -->


{{Optimal ET sequence|legend=0| 34d, 77, 111 }}
{{Optimal ET sequence|legend=0| 34d, 77, 111 }}
Line 267: Line 252:
* WE: ~2 = 1199.3711{{c}}, ~25/17 = 669.8997{{c}}
* WE: ~2 = 1199.3711{{c}}, ~25/17 = 669.8997{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/17 = 670.2422{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/17 = 670.2422{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~25/17 = 670.251{{c}} -->


{{Optimal ET sequence|legend=0| 34dh, 77, 111 }}
{{Optimal ET sequence|legend=0| 34dh, 77, 111 }}
Line 285: Line 269:
* [[CWE]]: ~2 = 1200.0000{{c}}, ~375/256 = 670.0935{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~375/256 = 670.0935{{c}}
: error map: {{val| 0.000 -1.020 +3.406 -1.539 }}
: error map: {{val| 0.000 -1.020 +3.406 -1.539 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~375/256 = 670.093{{c}} -->


{{Optimal ET sequence|legend=1| 34, 43, 77 }}
{{Optimal ET sequence|legend=1| 34, 43, 77 }}
Line 301: Line 284:
* WE: ~2 = 1200.0559{{c}}, ~165/112 = 670.0760{{c}}
* WE: ~2 = 1200.0559{{c}}, ~165/112 = 670.0760{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~165/112 = 670.0441{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~165/112 = 670.0441{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~165/112 = 670.045{{c}} -->


{{Optimal ET sequence|legend=0| 34e, 43, 77, 120 }}
{{Optimal ET sequence|legend=0| 34e, 43, 77, 120 }}
Line 317: Line 299:
* WE: ~2 = 1200.0428{{c}}, ~96/65 = 670.0673{{c}}
* WE: ~2 = 1200.0428{{c}}, ~96/65 = 670.0673{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~96/65 = 670.0431{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~96/65 = 670.0431{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~96/65 = 670.043{{c}} -->


{{Optimal ET sequence|legend=0| 34e, 43, 77, 120 }}
{{Optimal ET sequence|legend=0| 34e, 43, 77, 120 }}
Line 333: Line 314:
* WE: ~2 = 1199.8666{{c}}, ~25/17 = 669.9675{{c}}
* WE: ~2 = 1199.8666{{c}}, ~25/17 = 669.9675{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/17 = 670.0429{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/17 = 670.0429{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~25/17 = 670.042{{c}} -->


{{Optimal ET sequence|legend=0| 34e, 43, 77, 120g }}
{{Optimal ET sequence|legend=0| 34e, 43, 77, 120g }}
Line 349: Line 329:
* WE: ~2 = 1199.8538{{c}}, ~25/17 = 669.9631{{c}}
* WE: ~2 = 1199.8538{{c}}, ~25/17 = 669.9631{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/17 = 670.0460{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/17 = 670.0460{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~25/17 = 529.955{{c}} -->


{{Optimal ET sequence|legend=0| 34e, 43, 77, 120g }}
{{Optimal ET sequence|legend=0| 34e, 43, 77, 120g }}
Line 368: Line 347:
* [[CWE]]: ~2 = 1200.0000{{c}}, ~12/7 = 935.1643{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~12/7 = 935.1643{{c}}
: error map: {{val| 0.000 +1.330 +2.701 -0.705 }}
: error map: {{val| 0.000 +1.330 +2.701 -0.705 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 935.175{{c}} -->


{{Optimal ET sequence|legend=1| 9, …, 59, 68, 77, 145 }}
{{Optimal ET sequence|legend=1| 9, …, 59, 68, 77, 145 }}
Line 384: Line 362:
* WE: ~2 = 1199.9930{{c}}, ~12/7 = 935.1459{{c}}
* WE: ~2 = 1199.9930{{c}}, ~12/7 = 935.1459{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 935.1512{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 935.1512{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~12/7 = 935.151{{c}} -->


{{Optimal ET sequence|legend=0| 9, 59, 68, 77, 145e }}
{{Optimal ET sequence|legend=0| 9, 59, 68, 77, 145e }}
Line 400: Line 377:
* WE: ~2 = 1199.9061{{c}}, ~12/7 = 935.0656{{c}}
* WE: ~2 = 1199.9061{{c}}, ~12/7 = 935.0656{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 935.1367{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 935.1367{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~12/7 = 935.139{{c}} -->


{{Optimal ET sequence|legend=0| 9, 59f, 68, 77 }}
{{Optimal ET sequence|legend=0| 9, 59f, 68, 77 }}
Line 416: Line 392:
* WE: ~2 = 1199.7422{{c}}, ~12/7 = 934.9596{{c}}
* WE: ~2 = 1199.7422{{c}}, ~12/7 = 934.9596{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 935.1572{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 935.1572{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~12/7 = 935.161{{c}} -->


{{Optimal ET sequence|legend=0| 9, 59f, 68, 77 }}
{{Optimal ET sequence|legend=0| 9, 59f, 68, 77 }}
Line 432: Line 407:
* WE: ~2 = 1199.7650{{c}}, ~12/7 = 934.9782{{c}}
* WE: ~2 = 1199.7650{{c}}, ~12/7 = 934.9782{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 935.1581{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 935.1581{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~7/6 = 264.839{{c}} -->


{{Optimal ET sequence|legend=0| 9, 59f, 68, 77 }}
{{Optimal ET sequence|legend=0| 9, 59f, 68, 77 }}
Line 451: Line 425:
* [[CWE]]: ~2 = 1200.0000{{c}}, ~128/105 = 335.1779{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~128/105 = 335.1779{{c}}
: error map: {{val| 0.000 +1.603 +2.619 +3.505 }}
: error map: {{val| 0.000 +1.603 +2.619 +3.505 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~128/105 = 335.182{{c}} -->


{{Optimal ET sequence|legend=1| 25, 43, 68, 111, 179, 290cd, 469bccdd }}
{{Optimal ET sequence|legend=1| 25, 43, 68, 111, 179, 290cd, 469bccdd }}
Line 467: Line 440:
* WE: ~2 = 1199.3670{{c}}, ~40/33 = 334.9711{{c}}
* WE: ~2 = 1199.3670{{c}}, ~40/33 = 334.9711{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~40/33 = 335.1492{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~40/33 = 335.1492{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~40/33 = 335.148{{c}} -->


{{Optimal ET sequence|legend=0| 25, 43, 68, 111 }}
{{Optimal ET sequence|legend=0| 25, 43, 68, 111 }}
Line 483: Line 455:
* WE: ~2 = 1199.3383{{c}}, ~40/33 = 334.9594{{c}}
* WE: ~2 = 1199.3383{{c}}, ~40/33 = 334.9594{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~40/33 = 335.1431{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~40/33 = 335.1431{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~40/33 = 335.144{{c}} -->


{{Optimal ET sequence|legend=0| 25, 43, 68, 111 }}
{{Optimal ET sequence|legend=0| 25, 43, 68, 111 }}
Line 499: Line 470:
* WE: ~2 = 1199.3269{{c}}, ~17/14 = 334.9571{{c}}
* WE: ~2 = 1199.3269{{c}}, ~17/14 = 334.9571{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~17/14 = 335.1451{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~17/14 = 335.1451{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~17/14 = 335.145{{c}} -->


{{Optimal ET sequence|legend=0| 25, 43, 68, 111 }}
{{Optimal ET sequence|legend=0| 25, 43, 68, 111 }}
Line 515: Line 485:
* WE: ~2 = 1199.2658{{c}}, ~17/14 = 334.9455{{c}}
* WE: ~2 = 1199.2658{{c}}, ~17/14 = 334.9455{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~17/14 = 335.1516{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~17/14 = 335.1516{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~17/14 = 335.151{{c}} -->


{{Optimal ET sequence|legend=0| 25, 43, 68, 111 }}
{{Optimal ET sequence|legend=0| 25, 43, 68, 111 }}
Line 534: Line 503:
* [[CWE]]: ~1125/896 = 400.0000{{c}}, ~7/6 = 270.2343{{c}}
* [[CWE]]: ~1125/896 = 400.0000{{c}}, ~7/6 = 270.2343{{c}}
: error map: {{val| 0.000 +0.388 +2.983 +3.752 }}
: error map: {{val| 0.000 +0.388 +2.983 +3.752 }}
<!-- * [[POTE]]: ~1125/896 = 400.000{{c}}, ~7/6 = 270.269{{c}} -->


{{Optimal ET sequence|legend=1| 9, …, 102d, 111 }}
{{Optimal ET sequence|legend=1| 9, …, 102d, 111 }}
Line 550: Line 518:
* WE: ~495/392 = 399.7963{{c}}, ~7/6 = 270.1183{{c}}
* WE: ~495/392 = 399.7963{{c}}, ~7/6 = 270.1183{{c}}
* CWE: ~495/392 = 400.0000{{c}}, ~7/6 = 270.2301{{c}}
* CWE: ~495/392 = 400.0000{{c}}, ~7/6 = 270.2301{{c}}
<!-- * POTE: ~495/392 = 400.000{{c}}, ~7/6 = 270.256{{c}} -->


{{Optimal ET sequence|legend=0| 9, …, 102d, 111 }}
{{Optimal ET sequence|legend=0| 9, …, 102d, 111 }}
Line 566: Line 533:
* WE: ~495/392 = 399.7935{{c}}, ~7/6 = 270.1144{{c}}
* WE: ~495/392 = 399.7935{{c}}, ~7/6 = 270.1144{{c}}
* CWE: ~495/392 = 400.0000{{c}}, ~7/6 = 270.2258{{c}}
* CWE: ~495/392 = 400.0000{{c}}, ~7/6 = 270.2258{{c}}
<!-- * POTE: ~495/392 = 400.000{{c}}, ~7/6 = 270.254{{c}} (or ~14/13 = 129.746{{c}}) -->


{{Optimal ET sequence|legend=0| 9, …, 102df, 111 }}
{{Optimal ET sequence|legend=0| 9, …, 102df, 111 }}
Line 582: Line 548:
* WE: ~495/392 = 399.7781{{c}}, ~7/6 = 270.1159{{c}}
* WE: ~495/392 = 399.7781{{c}}, ~7/6 = 270.1159{{c}}
* CWE: ~495/392 = 400.0000{{c}}, ~7/6 = 270.2476{{c}}
* CWE: ~495/392 = 400.0000{{c}}, ~7/6 = 270.2476{{c}}
<!-- * POTE: ~495/392 = 400.000{{c}}, ~7/6 = 270.266{{c}} (or ~14/13 = 129.734{{c}}) -->


{{Optimal ET sequence|legend=0| 9, 102df, 111 }}
{{Optimal ET sequence|legend=0| 9, 102df, 111 }}
Line 598: Line 563:
* WE: ~208/165 = 399.7588{{c}}, ~7/6 = 270.0969{{c}}
* WE: ~208/165 = 399.7588{{c}}, ~7/6 = 270.0969{{c}}
* CWE: ~208/165 = 400.0000{{c}}, ~7/6 = 270.2391{{c}}
* CWE: ~208/165 = 400.0000{{c}}, ~7/6 = 270.2391{{c}}
<!-- * POTE: ~208/165 = 400.000{{c}}, ~7/6 = 270.260{{c}} (or ~14/13 = 129.740{{c}}) -->


{{Optimal ET sequence|legend=0| 9, 102dfh, 111 }}
{{Optimal ET sequence|legend=0| 9, 102dfh, 111 }}

Revision as of 19:55, 25 February 2026

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

The mabila family of temperaments tempers out the mabila comma (monzo: [28 -3 -10⟩, ratio: 268435456/263671875) in the 5-limit. This gives a temperament structure superficially similar to mavila, with extremely sharp fourths/flat fifths, three of which make a major third. However, unlike mavila, 10 of these bad fifths reach a more in tune one, which is useful for creating resolutions when using a large enough gamut, such as the 9L 7s mos which has 3 good major and minor chords.

Mabila

Subgroup: 2.3.5

Comma list: 268435456/263671875

Mapping: [⟨1 -4 4], ⟨0 10 -3]]

mapping generators: ~2, ~375/256

Optimal tunings:

  • WE: ~2 = 1199.3545 ¢, ~375/256 = 669.9545 ¢
error map: ⟨-0.646 +0.173 +1.240]
  • CWE: ~2 = 1200.0000 ¢, ~375/256 = 670.2921 ¢
error map: ⟨-0.646 +0.173 +1.240]

Optimal ET sequence: 9, 25, 34, 77, 111, 145, 256c

Badness (Sintel): 5.45

Semabila

See also: No-threes subgroup temperaments § Mabilic

Semabila is so named because it is a semaphore temperament.

Subgroup: 2.3.5.7

Comma list: 49/48, 28672/28125

Mapping: [⟨1 -4 4 0], ⟨0 10 -3 5]]

Optimal tunings:

  • WE: ~2 = 1200.9854 ¢, ~112/75 = 670.8838 ¢
error map: ⟨+0.985 +2.941 +4.977 -14.407]
  • CWE: ~2 = 1200.0000 ¢, ~112/75 = 670.3712 ¢
error map: ⟨0.000 +1.757 +2.573 -16.970]

Optimal ET sequence: 9, 25, 34

Badness (Sintel): 3.38

11-limit

Subgroup: 2.3.5.7.11

Comma list: 49/48, 56/55, 1350/1331

Mapping: [⟨1 -4 4 0 1], ⟨0 10 -3 5 8]]

Optimal tunings:

  • WE: ~2 = 1200.2248 ¢, ~22/15 = 670.3965 ¢
  • CWE: ~2 = 1200.0000 ¢, ~22/15 = 670.2804 ¢

Optimal ET sequence: 9, 25e, 34

Badness (Sintel): 2.03

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 56/55, 91/90, 847/845

Mapping: [⟨1 -4 4 0 1 -3], ⟨0 10 -3 5 8 12]]

Optimal tunings:

  • WE: ~2 = 1200.1265 ¢, ~22/15 = 670.3078 ¢
  • CWE: ~2 = 1200.0000 ¢, ~22/15 = 670.2429 ¢

Optimal ET sequence: 9, 25e, 34

Badness (Sintel): 1.54

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 49/48, 56/55, 91/90, 154/153, 375/374

Mapping: [⟨1 -4 4 0 1 -3 8], ⟨0 10 -3 5 8 12 -7]]

Optimal tunings:

  • WE: ~2 = 1199.8798 ¢, ~22/15 = 670.2382 ¢
  • CWE: ~2 = 1200.0000 ¢, ~22/15 = 670.3021 ¢

Optimal ET sequence: 9, 25e, 34

Badness (Sintel): 1.62

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 49/48, 56/55, 76/75, 91/90, 154/153, 190/187

Mapping: [⟨1 -4 4 0 1 -3 8 2], ⟨0 10 -3 5 8 12 -7 4]]

Optimal tunings:

  • WE: ~2 = 1200.4164 ¢, ~22/15 = 670.4966 ¢
  • CWE: ~2 = 1200.0000 ¢, ~22/15 = 670.2749 ¢

Optimal ET sequence: 9, 25e, 34

Badness (Sintel): 1.64

Amavil

Named by Petr Pařízek in 2011[1], amavil tempers out 225/224 and may be described as the 34d & 43 temperament.

Subgroup: 2.3.5.7

Comma list: 225/224, 17496/16807

Mapping: [⟨1 -4 4 -5], ⟨0 10 -3 14]]

Optimal tunings:

  • WE: ~2 = 1198.8499 ¢, ~35/24 = 669.3786 ¢
error map: ⟨-1.150 -3.569 +0.950 +8.224]
  • CWE: ~2 = 1200.0000 ¢, ~35/24 = 669.9710 ¢
error map: ⟨0.000 -2.245 +3.773 +10.768]

Optimal ET sequence: 9, 25d, 34d, 43, 77d

Badness (Sintel): 2.77

11-limit

Subgroup: 2.3.5.7.11

Comma list: 99/98, 176/175, 864/847

Mapping: [⟨1 -4 4 -5 -1], ⟨0 10 -3 14 8]]

Optimal tunings:

  • WE: ~2 = 1198.5522 ¢, ~22/15 = 669.2176 ¢
  • CWE: ~2 = 1200.0000 ¢, ~22/15 = 669.9619 ¢

Optimal ET sequence: 9, 25de, 34d, 43, 77de

Badness (Sintel): 1.41

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 78/77, 99/98, 144/143, 176/175

Mapping: [⟨1 -4 4 -5 -1 -3], ⟨0 10 -3 14 8 12]]

Optimal tunings:

  • WE: ~2 = 1198.7386 ¢, ~22/15 = 669.3449 ¢
  • CWE: ~2 = 1200.0000 ¢, ~22/15 = 669.9903 ¢

Optimal ET sequence: 9, 25de, 34d, 43, 77de

Badness (Sintel): 1.07

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 78/77, 99/98, 120/119, 144/143, 176/175

Mapping: [⟨1 -4 4 -5 -1 -3 8], ⟨0 10 -3 14 8 12 -7]]

Optimal tunings:

  • WE: ~2 = 1198.7648 ¢, ~22/15 = 669.3533 ¢
  • CWE: ~2 = 1200.0000 ¢, ~22/15 = 670.0080 ¢

Optimal ET sequence: 9, 25de, 34d, 43, 77de

Badness (Sintel): 1.13

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 78/77, 96/95, 99/98, 120/119, 135/133, 144/143

Mapping: [⟨1 -4 4 -5 -1 -3 8 -3], ⟨0 10 -3 14 8 12 -7 13]]

Optimal tunings:

  • WE: ~2 = 1198.5939 ¢, ~22/15 = 669.2282 ¢
  • CWE: ~2 = 1200.0000 ¢, ~22/15 = 669.9712 ¢

Optimal ET sequence: 9, 34dh, 43, 77deh

Badness (Sintel): 1.09

Tuskaloosa

Subgroup: 2.3.5.7

Comma list: 19683/19600, 110592/109375

Mapping: [⟨1 -4 4 -24], ⟨0 10 -3 48]]

Optimal tunings:

  • WE: ~2 = 1199.4378 ¢, ~375/256 = 669.9137 ¢
error map: ⟨-0.562 -0.569 +1.696 +0.524]
  • CWE: ~2 = 1200.0000 ¢, ~375/256 = 670.2172 ¢
error map: ⟨0.000 +0.217 +3.035 +1.597]

Optimal ET sequence: 34d, 77, 111, 188, 299cd, 487ccd

Badness (Sintel): 3.67

11-limit

Subgroup: 2.3.5.7.11

Comma list: 176/175, 1331/1323, 19683/19600

Mapping: [⟨1 -4 4 -24 -20], ⟨0 10 -3 48 42]]

Optimal tunings:

  • WE: ~2 = 1199.4934 ¢, ~165/112 = 669.9677 ¢
  • CWE: ~2 = 1200.0000 ¢, ~165/112 = 670.2405 ¢

Optimal ET sequence: 34d, 77, 111

Badness (Sintel): 2.04

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 176/175, 351/350, 676/675, 1331/1323

Mapping: [⟨1 -4 4 -24 -20 -3], ⟨0 10 -3 48 42 12]]

Optimal tunings:

  • WE: ~2 = 1199.4539 ¢, ~96/65 = 669.9476 ¢
  • CWE: ~2 = 1200.0000 ¢, ~96/65 = 670.2425 ¢

Optimal ET sequence: 34d, 77, 111

Badness (Sintel): 1.30

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 176/175, 256/255, 351/350, 676/675, 715/714

Mapping: [⟨1 -4 4 -24 -20 -3 8], ⟨0 10 -3 48 42 12 -7]]

Optimal tunings:

  • WE: ~2 = 1199.3885 ¢, ~25/17 = 669.9167 ¢
  • CWE: ~2 = 1200.0000 ¢, ~25/17 = 670.2500 ¢

Optimal ET sequence: 34d, 77, 111

Badness (Sintel): 1.16

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 176/175, 256/255, 286/285, 351/350, 363/361, 476/475

Mapping: [⟨1 -4 4 -24 -20 -3 8 -22], ⟨0 10 -3 48 42 12 -7 47]]

Optimal tunings:

  • WE: ~2 = 1199.3711 ¢, ~25/17 = 669.8997 ¢
  • CWE: ~2 = 1200.0000 ¢, ~25/17 = 670.2422 ¢

Optimal ET sequence: 34dh, 77, 111

Badness (Sintel): 1.09

Muscogee

Subgroup: 2.3.5.7

Comma list: 126/125, 33756345/33554432

Mapping: [⟨1 -4 4 19], ⟨0 10 -3 -29]]

Optimal tunings:

  • WE: ~2 = 1199.9275 ¢, ~375/256 = 670.0525 ¢
error map: ⟨-0.073 -1.140 +3.239 -1.726]
  • CWE: ~2 = 1200.0000 ¢, ~375/256 = 670.0935 ¢
error map: ⟨0.000 -1.020 +3.406 -1.539]

Optimal ET sequence: 34, 43, 77

Badness (Sintel): 4.10

11-limit

Subgroup: 2.3.5.7.11

Comma list: 126/125, 176/175, 264627/262144

Mapping: [⟨1 -4 4 19 23], ⟨0 10 -3 -29 -35]]

Optimal tunings:

  • WE: ~2 = 1200.0559 ¢, ~165/112 = 670.0760 ¢
  • CWE: ~2 = 1200.0000 ¢, ~165/112 = 670.0441 ¢

Optimal ET sequence: 34e, 43, 77, 120

Badness (Sintel): 2.56

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 126/125, 176/175, 676/675, 1287/1280

Mapping: [⟨1 -4 4 19 23 -3], ⟨0 10 -3 -29 -35 12]]

Optimal tunings:

  • WE: ~2 = 1200.0428 ¢, ~96/65 = 670.0673 ¢
  • CWE: ~2 = 1200.0000 ¢, ~96/65 = 670.0431 ¢

Optimal ET sequence: 34e, 43, 77, 120

Badness (Sintel): 1.79

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 126/125, 176/175, 256/255, 273/272, 676/675

Mapping: [⟨1 -4 4 19 23 -3 8], ⟨0 10 -3 -29 -35 12 -7]]

Optimal tunings:

  • WE: ~2 = 1199.8666 ¢, ~25/17 = 669.9675 ¢
  • CWE: ~2 = 1200.0000 ¢, ~25/17 = 670.0429 ¢

Optimal ET sequence: 34e, 43, 77, 120g

Badness (Sintel): 1.59

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 126/125, 171/170, 176/175, 256/255, 273/272, 363/361

Mapping: [⟨1 -4 4 19 23 -3 8 21], ⟨0 10 -3 -29 -35 12 -7 -30]]

Optimal tunings:

  • WE: ~2 = 1199.8538 ¢, ~25/17 = 669.9631 ¢
  • CWE: ~2 = 1200.0000 ¢, ~25/17 = 670.0460 ¢

Optimal ET sequence: 34e, 43, 77, 120g

Badness (Sintel): 1.44

Hemimabila

Subgroup: 2.3.5.7

Comma list: 6144/6125, 117649/116640

Mapping: [⟨1 -14 7 -12], ⟨0 20 -6 19]]

mapping generators: ~2, ~12/7

Optimal tunings:

  • WE: ~2 = 1199.5170 ¢, ~12/7 = 934.7983 ¢
error map: ⟨-0.483 +0.773 +1.516 -1.862]
  • CWE: ~2 = 1200.0000 ¢, ~12/7 = 935.1643 ¢
error map: ⟨0.000 +1.330 +2.701 -0.705]

Optimal ET sequence: 9, …, 59, 68, 77, 145

Badness (Sintel): 2.81

11-limit

Subgroup: 2.3.5.7.11

Comma list: 121/120, 176/175, 67228/66825

Mapping: [⟨1 -14 7 -12 -2], ⟨0 20 -6 19 7]]

Optimal tunings:

  • WE: ~2 = 1199.9930 ¢, ~12/7 = 935.1459 ¢
  • CWE: ~2 = 1200.0000 ¢, ~12/7 = 935.1512 ¢

Optimal ET sequence: 9, 59, 68, 77, 145e

Badness (Sintel): 2.03

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 121/120, 176/175, 196/195, 676/675

Mapping: [⟨1 -14 7 -12 -2 -15], ⟨0 20 -6 19 7 24]]

Optimal tunings:

  • WE: ~2 = 1199.9061 ¢, ~12/7 = 935.0656 ¢
  • CWE: ~2 = 1200.0000 ¢, ~12/7 = 935.1367 ¢

Optimal ET sequence: 9, 59f, 68, 77

Badness (Sintel): 1.43

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 121/120, 154/153, 176/175, 196/195, 676/675

Mapping: [⟨1 -14 7 -12 -2 -15 15], ⟨0 20 -6 19 7 24 -14]]

Optimal tunings:

  • WE: ~2 = 1199.7422 ¢, ~12/7 = 934.9596 ¢
  • CWE: ~2 = 1200.0000 ¢, ~12/7 = 935.1572 ¢

Optimal ET sequence: 9, 59f, 68, 77

Badness (Sintel): 1.42

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 121/120, 154/153, 176/175, 196/195, 209/208, 361/360

Mapping: [⟨1 -14 7 -12 -2 -15 15 -9], ⟨0 20 -6 19 7 24 -14 17]]

Optimal tunings:

  • WE: ~2 = 1199.7650 ¢, ~12/7 = 934.9782 ¢
  • CWE: ~2 = 1200.0000 ¢, ~12/7 = 935.1581 ¢

Optimal ET sequence: 9, 59f, 68, 77

Badness (Sintel): 1.22

Cohemimabila

Subgroup: 2.3.5.7

Comma list: 3136/3125, 65536/64827

Mapping: [⟨1 -4 4 7], ⟨0 20 -6 -15]]

mapping generators: ~2, ~128/105

Optimal tunings:

  • WE: ~2 = 1199.1476 ¢, ~128/105 = 334.9440 ¢
error map: ⟨-0.852 +0.335 +0.613 +1.047]
  • CWE: ~2 = 1200.0000 ¢, ~128/105 = 335.1779 ¢
error map: ⟨0.000 +1.603 +2.619 +3.505]

Optimal ET sequence: 25, 43, 68, 111, 179, 290cd, 469bccdd

Badness (Sintel): 3.23

11-limit

Subgroup: 2.3.5.7.11

Comma list: 176/175, 1375/1372, 16384/16335

Mapping: [⟨1 -4 4 7 11], ⟨0 20 -6 -15 -27]]

Optimal tunings:

  • WE: ~2 = 1199.3670 ¢, ~40/33 = 334.9711 ¢
  • CWE: ~2 = 1200.0000 ¢, ~40/33 = 335.1492 ¢

Optimal ET sequence: 25, 43, 68, 111

Badness (Sintel): 2.12

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 176/175, 640/637, 676/675, 1375/1372

Mapping: [⟨1 -4 4 7 11 -3], ⟨0 20 -6 -15 -27 24]]

Optimal tunings:

  • WE: ~2 = 1199.3383 ¢, ~40/33 = 334.9594 ¢
  • CWE: ~2 = 1200.0000 ¢, ~40/33 = 335.1431 ¢

Optimal ET sequence: 25, 43, 68, 111

Badness (Sintel): 1.47

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 176/175, 256/255, 442/441, 640/637, 715/714

Mapping: [⟨1 -4 4 7 11 -3 8], ⟨0 20 -6 -15 -27 24 -14]]

Optimal tunings:

  • WE: ~2 = 1199.3269 ¢, ~17/14 = 334.9571 ¢
  • CWE: ~2 = 1200.0000 ¢, ~17/14 = 335.1451 ¢

Optimal ET sequence: 25, 43, 68, 111

Badness (Sintel): 1.16

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 176/175, 256/255, 286/285, 363/361, 442/441, 476/475

Mapping: [⟨1 -4 4 7 11 -3 8 9], ⟨0 20 -6 -15 -27 24 -14 -17]]

Optimal tunings:

  • WE: ~2 = 1199.2658 ¢, ~17/14 = 334.9455 ¢
  • CWE: ~2 = 1200.0000 ¢, ~17/14 = 335.1516 ¢

Optimal ET sequence: 25, 43, 68, 111

Badness (Sintel): 1.06

Trimabila

Subgroup: 2.3.5.7

Comma list: 1728/1715, 268435456/263671875

Mapping: [⟨3 -2 9 1], ⟨0 10 -3 11]]

mapping generators: ~1125/896, ~7/6

Optimal tunings:

  • WE: ~1125/896 = 399.7349 ¢, ~7/6 = 270.0900 ¢
error map: ⟨-0.795 -0.525 +1.030 +1.899]
  • CWE: ~1125/896 = 400.0000 ¢, ~7/6 = 270.2343 ¢
error map: ⟨0.000 +0.388 +2.983 +3.752]

Optimal ET sequence: 9, …, 102d, 111

Badness (Sintel): 6.76

11-limit

Subgroup: 2.3.5.7.11

Comma list: 176/175, 540/539, 805255/802816

Mapping: [⟨3 -2 9 1 7], ⟨0 10 -3 11 5]]

Optimal tunings:

  • WE: ~495/392 = 399.7963 ¢, ~7/6 = 270.1183 ¢
  • CWE: ~495/392 = 400.0000 ¢, ~7/6 = 270.2301 ¢

Optimal ET sequence: 9, …, 102d, 111

Badness (Sintel): 2.71

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 176/175, 540/539, 676/675, 1573/1568

Mapping: [⟨3 -2 9 1 7 3], ⟨0 10 -3 11 5 12]]

Optimal tunings:

  • WE: ~495/392 = 399.7935 ¢, ~7/6 = 270.1144 ¢
  • CWE: ~495/392 = 400.0000 ¢, ~7/6 = 270.2258 ¢

Optimal ET sequence: 9, …, 102df, 111

Badness (Sintel): 1.66

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 176/175, 256/255, 540/539, 676/675, 715/714

Mapping: [⟨3 -2 9 1 7 3 17], ⟨0 10 -3 11 5 12 -7]]

Optimal tunings:

  • WE: ~495/392 = 399.7781 ¢, ~7/6 = 270.1159 ¢
  • CWE: ~495/392 = 400.0000 ¢, ~7/6 = 270.2476 ¢

Optimal ET sequence: 9, 102df, 111

Badness (Sintel): 1.56

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 176/175, 256/255, 286/285, 363/361, 476/475, 540/539

Mapping: [⟨3 -2 9 1 7 3 17 6], ⟨0 10 -3 11 5 12 -7 10]]

Optimal tunings:

  • WE: ~208/165 = 399.7588 ¢, ~7/6 = 270.0969 ¢
  • CWE: ~208/165 = 400.0000 ¢, ~7/6 = 270.2391 ¢

Optimal ET sequence: 9, 102dfh, 111

Badness (Sintel): 1.39

References

  1. ↑ Yahoo! Tuning Group | Suggested names for the unclasified temperaments
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