Xenharmonic Wiki

No-fives subgroup temperaments: Difference between revisions

Newer edit →
VisualWikitext
Created page with "This is a collection of subgroup temperaments which omit the prime harmonic of 5. == Semaphore == Subgroup: 2.3.7 Comma: 49/48 [[Gencom]..."
 
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,025 edits
No edit summary
Line 14: Line 14:
[[Tp tuning|POL2 generator]]: ~7/6 = 250.385
[[Tp tuning|POL2 generator]]: ~7/6 = 250.385


{{Val list|legend=1| 5, 14, 19, 24, 67c, 91c }}
{{Val list|legend=1| 5, 14, 19, 24, 67d, 91d }}


[[Tp tuning# T2 tuning|RMS error]]: 2.523 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.523 cents


== Bleu ==
== Bleu ==
Line 31: Line 31:
[[Tp tuning|POL2 generator]]: ~54/49 = 139.848
[[Tp tuning|POL2 generator]]: ~54/49 = 139.848


{{Val list| 9, 17, 43, 60c }}
{{Val list| 9, 17, 43, 60d }}


[[Tp tuning #T2 tuning|RMS error]]: 1.917 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.917 cents
Line 48: Line 48:
[[Tp tuning|POL2 generator]]: ~12/11 = 140.005
[[Tp tuning|POL2 generator]]: ~12/11 = 140.005


{{Val list| 9, 17, 43, 60c }}
{{Val list| 9, 17, 43, 60d }}


[[Tp tuning #T2 tuning|RMS error]]: 1.829 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.829 cents
Line 65: Line 65:
[[Tp tuning|POL2 generator]]: ~12/11 = 139.990
[[Tp tuning|POL2 generator]]: ~12/11 = 139.990


{{Val list|legend=1| 17, 43, 60c }}
{{Val list|legend=1| 17, 43, 60d }}


[[Tp tuning #T2 tuning|RMS error]]: 1.752 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.752 cents
Line 84: Line 84:
[[Tp tuning|POL2 generator]]: ~3/2 = 709.321
[[Tp tuning|POL2 generator]]: ~3/2 = 709.321


{{Val list|legend=1| 5, 12, 17, 22, 27, 137bc }}
{{Val list|legend=1| 5, 12, 17, 22, 27, 137bd }}


[[Tp tuning #T2 tuning|RMS error]]: 1.856 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.856 cents
Line 101: Line 101:
[[Tp tuning|POL2 generator]]: ~3/2 = 707.192
[[Tp tuning|POL2 generator]]: ~3/2 = 707.192


{{Val list|legend=1| 5, 12, 17, 39c, 56c }}
{{Val list|legend=1| 5, 12, 17, 39d, 56d }}


[[Tp tuning #T2 tuning|RMS error]]: 1.977 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.977 cents
Line 118: Line 118:
[[Tp tuning|POL2 generator]]: ~3/2 = 706.137
[[Tp tuning|POL2 generator]]: ~3/2 = 706.137


{{Val list|legend=1| 5e, 12e, 17, 22, 39c, 56c }}
{{Val list|legend=1| 5f, 12f, 17, 22, 39d, 56d }}


[[Tp tuning #T2 tuning|RMS error]]: 2.095 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.095 cents
Line 135: Line 135:
[[Tp tuning|POL2 generator]]: ~11/9 = 353.958
[[Tp tuning|POL2 generator]]: ~11/9 = 353.958


{{Val list|legend=1| 7, 10, 17, 44d, 61cd, 78cd }}
{{Val list|legend=1| 7, 10, 17, 44e, 61de, 78de }}


[[Tp tuning #T2 tuning|RMS error]]: 1.968 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.968 cents
Line 152: Line 152:
[[Tp tuning|POL2 generator]]: ~11/9 = 353.775
[[Tp tuning|POL2 generator]]: ~11/9 = 353.775


{{Val list|legend=1| 7, 10, 17, 44d, 61cd, 78cd }}
{{Val list|legend=1| 7, 10, 17, 44e, 61de, 78de }}


[[Tp tuning #T2 tuning|RMS error]]: 1.953 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.953 cents


== Skwares ==
== Skwares ==
Related temperament: [[Meantone family #Squares|squares]]
Subgroup: 2.3.7
Subgroup: 2.3.7


Line 171: Line 169:
[[Tp tuning|POL2 generator]]: ~9/7 = 425.365
[[Tp tuning|POL2 generator]]: ~9/7 = 425.365


{{Val list|legend=1| 14, 17, 31, 48, 79, 189b, 268bc, 347bc }}
{{Val list|legend=1| 14, 17, 31, 48, 79, 189b, 268bd, 347bd }}


[[Tp tuning #T2 tuning|RMS error]]: 1.149 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.149 cents
Related temperament: [[Meantone family #Squares|squares]]


=== 2.3.7.11 ===
=== 2.3.7.11 ===
Line 188: Line 188:
[[Tp tuning|POL2 generator]]: ~9/7 = 425.244
[[Tp tuning|POL2 generator]]: ~9/7 = 425.244


{{Val list|legend=1| 14, 17, 31, 48, 79, 127, 206bcd }}
{{Val list|legend=1| 14, 17, 31, 48, 79, 127, 206bde }}


[[Tp tuning #T2 tuning|RMS error]]: 1.099 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.099 cents


=== 2.3.7.11.13 ===
==== 2.3.7.11.13 ====
Subgroup: 2.3.7.11.13
Subgroup: 2.3.7.11.13


Line 205: Line 205:
[[Tp tuning|POL2 generator]]: ~9/7 = 424.457
[[Tp tuning|POL2 generator]]: ~9/7 = 424.457


{{Val list|legend=1| 17, 48e, 65de, 82c, 147ce }}
{{Val list|legend=1| 17, 48f, 65ef, 82d, 147df }}


[[Tp tuning #T2 tuning|RMS error]]: 1.769 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.769 cents


=== Skwairs ===
==== Skwairs ====
Subgroup: 2.3.7.11.13
Subgroup: 2.3.7.11.13


Line 239: Line 239:
[[Tp tuning|POL2 generator]]: ~3/2 = 696.544
[[Tp tuning|POL2 generator]]: ~3/2 = 696.544


{{Val list|legend=1| 12, 19, 31, 112b, 143b, 174b}}
{{Val list|legend=1| 12, 19, 31, 112b, 143b, 174b }}
 
[[Tp tuning #T2 tuning|RMS error]]: 1.226 cents
 
Related temperament: [[Meantone family #Septimal meantone|meantone]]


== Leapfrog ==
== Leapfrog ==
Line 259: Line 263:


[[Tp tuning #T2 tuning|RMS error]]: 0.6202 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.6202 cents
Related temperaments: [[Hemifamity temperaments #Leapday|leapday]], [[Sensamagic clan #Leapweek|leapweek]]


=== 2.3.7.11 ===
=== 2.3.7.11 ===
Line 353: Line 359:
[[Tp tuning #T2 tuning|RMS error]]: 0.5452 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.5452 cents


=== 2.3.7.13.17 ===
==== 2.3.7.13.17 ====
Subgroup: 2.3.7.13.17
Subgroup: 2.3.7.13.17


Line 369: Line 375:


== Hemif ==
== Hemif ==
Related temperament: [[Breedsmic temperaments #Hemififths|hemififths]], namo
Subgroup: 2.3.7
Subgroup: 2.3.7


Line 386: Line 390:


[[Tp tuning #T2 tuning|RMS error]]: 0.2344 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.2344 cents
Related temperaments: [[Breedsmic temperaments #Hemififths|hemififths]], namo


=== 2.3.7.11 ===
=== 2.3.7.11 ===
Line 400: Line 406:
[[Tp tuning|POL2 generator]]: ~11/9 = 351.535
[[Tp tuning|POL2 generator]]: ~11/9 = 351.535


{{Val list|legend=1| 7, 17, 41, 58, 99d }}
{{Val list|legend=1| 7, 17, 41, 58, 99e }}


[[Tp tuning #T2 tuning|RMS error]]: 0.6108 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.6108 cents
Line 495: Line 501:
[[Tp tuning #T2 tuning|RMS error]]: 0.3021 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.3021 cents


[[neutraltet7|Seven note albitonic scale]]
; Scales
 
* [[neutraltet7|Seven note albitonic scale]]
[[neutraltet10|Ten note chromatic scale]]
* [[neutraltet10|Ten note chromatic scale]]
 
* [[neutraltet17|Seventeen note mega chromatic scale]]
[[neutraltet17|Seventeen note mega chromatic scale]]


=== Namo ===
=== Namo ===
Retrieved from "https://en.xen.wiki/w/No-fives_subgroup_temperaments"