Meantone family: Difference between revisions
No edit summary |
No edit summary |
||
| Line 956: | Line 956: | ||
= Godzilla = | = Godzilla = | ||
<span style="display: block; text-align: right;">[[:de:Semiphor,_Semaphor,_Godzilla|Deutsch]]</span> | <span style="display: block; text-align: right;">[[:de:Semiphor,_Semaphor,_Godzilla|Deutsch]]</span> | ||
{{main| Semaphore and Godzilla }} | {{main| Semaphore and Godzilla }} | ||
| Line 998: | Line 997: | ||
* [[diamond nice]] range: [252.632, 257.143] | * [[diamond nice]] range: [252.632, 257.143] | ||
{{Val list | Vals: {{Val list| 14c, 19, 33cd, 52cd }} | ||
Badness: 0. | Badness: 0.028947 | ||
=== 13-limit === | === 13-limit === | ||
| Line 1,018: | Line 1,017: | ||
* [[diamond nice]] range: 694.737 | * [[diamond nice]] range: 694.737 | ||
{{Val list | Vals: {{Val list| 14cf, 19, 33cdff, 52cdf }} | ||
Badness: 0. | Badness: 0.022503 | ||
== Semafour == | == Semafour == | ||
| Line 1,033: | Line 1,032: | ||
POTE generator: ~8/7 = 254.042 | POTE generator: ~8/7 = 254.042 | ||
{{Val list | Vals: {{Val list| 14c, 19e, 33cdee }} | ||
Badness: 0. | Badness: 0.028510 | ||
== Varan == | == Varan == | ||
| Line 1,048: | Line 1,047: | ||
POTE generator: ~8/7 = 251.079 | POTE generator: ~8/7 = 251.079 | ||
{{Val list | Vals: {{Val list| 19e, 24, 43de }} | ||
Badness: 0. | Badness: 0.039647 | ||
=== 13-limit === | === 13-limit === | ||
| Line 1,063: | Line 1,062: | ||
POTE generator: ~8/7 = 251.165 | POTE generator: ~8/7 = 251.165 | ||
{{Val list | Vals: {{Val list| 19e, 24, 43de }} | ||
Badness: 0. | Badness: 0.025676 | ||
== Baragon == | == Baragon == | ||
| Line 1,078: | Line 1,077: | ||
POTE generator: ~8/7 = 251.173 | POTE generator: ~8/7 = 251.173 | ||
{{Val list | Vals: {{Val list| 19, 24, 43d }} | ||
Badness: 0.035673 | Badness: 0.035673 | ||
= Injera = | = Injera = | ||
Injera has a half-octave period and a generator which can be taken as a fifth or fourth, but also as a 15/14 semitone difference between a half-octave and a perfect fifth. Injera tempers out 50/49, equating 7/5 with 10/7 and giving a tritone of half an octave. A major third up from this tritone is the 7/4. [[38edo]], which is two parallel [[19edo]] | Injera has a half-octave period and a generator which can be taken as a fifth or fourth, but also as a 15/14 semitone difference between a half-octave and a perfect fifth. Injera tempers out 50/49, equating 7/5 with 10/7 and giving a tritone of half an octave. A major third up from this tritone is the 7/4. [[38edo|38EDO]], which is two parallel [[19edo|19EDOs]], is an excellent tuning for injera. | ||
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3091.html#3091 Origin of the name] | [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3091.html#3091 Origin of the name] | ||
| Line 1,106: | Line 1,105: | ||
{{Val list|legend=1| 12, 26, 38, 102bcd, 140bccd, 178bbccdd }} | {{Val list|legend=1| 12, 26, 38, 102bcd, 140bccd, 178bbccdd }} | ||
[[Badness]]: 0. | [[Badness]]: 0.031130 | ||
; Music | ; Music | ||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3 Two Pairs of Socks] (in [[26edo]]) by [[Igliashon Jones]] | * [http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3 Two Pairs of Socks] (in [[26edo|26EDO]]) by [[Igliashon Jones]] | ||
== 11-limit == | == 11-limit == | ||
| Line 1,127: | Line 1,126: | ||
* [[diamond nice]] range: [685.714, 700.000] | * [[diamond nice]] range: [685.714, 700.000] | ||
{{Val list | Vals: {{Val list| 12, 14c, 26, 90bce, 116bcce }} | ||
Badness: 0. | Badness: 0.023124 | ||
=== 13-limit === | === 13-limit === | ||
| Line 1,147: | Line 1,146: | ||
* [[diamond nice]] range: 692.308 (15\26) | * [[diamond nice]] range: 692.308 (15\26) | ||
{{Val list | Vals: {{Val list| 12f, 14cf, 26, 38e }} | ||
Badness: 0. | Badness: 0.021565 | ||
=== Enjera === | === Enjera === | ||
| Line 1,162: | Line 1,161: | ||
POTE generator: ~3/2 = 694.121 | POTE generator: ~3/2 = 694.121 | ||
{{Val list | Vals: {{Val list| 12f, 14c, 26f, 38eff }} | ||
Badness: 0. | Badness: 0.026542 | ||
== Injerous == | == Injerous == | ||
| Line 1,177: | Line 1,176: | ||
POTE generator: ~3/2 = 690.548 | POTE generator: ~3/2 = 690.548 | ||
{{Val list | Vals: {{Val list| 12e, 14c, 26e, 40cee }} | ||
Badness: 0. | Badness: 0.038577 | ||
== Lahoh == | == Lahoh == | ||
| Line 1,192: | Line 1,191: | ||
POTE generator: ~3/2 = 699.001 | POTE generator: ~3/2 = 699.001 | ||
{{Val list | Vals: {{Val list| 12, 14ce }} | ||
Badness: 0. | Badness: 0.043062 | ||
= Mohaha = | = Mohaha = | ||
| Line 1,241: | Line 1,240: | ||
{{main|Mohajira}} | {{main|Mohajira}} | ||
Mohajira can be viewed as derived from mohaha which maps the interval one quarter tone flat of 16/9 to 7/4, although mohajira really makes more sense as an 11-limit temperament. It tempers out 6144/6125, the porwell comma. [[31edo]] makes for an excellent (7-limit) mohajira tuning, with generator 9/31. | Mohajira can be viewed as derived from mohaha which maps the interval one quarter tone flat of 16/9 to 7/4, although mohajira really makes more sense as an 11-limit temperament. It tempers out 6144/6125, the porwell comma. [[31edo|31EDO]] makes for an excellent (7-limit) mohajira tuning, with generator 9/31. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 1,264: | Line 1,263: | ||
{{Val list|legend=1| 7, 24, 31 }} | {{Val list|legend=1| 7, 24, 31 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.055714 | ||
Scales: [[mohaha7]], [[mohaha10]] | Scales: [[mohaha7]], [[mohaha10]] | ||
| Line 1,284: | Line 1,283: | ||
: Eigenmonzos: 2, 5 | : Eigenmonzos: 2, 5 | ||
{{Val list | Vals: {{Val list| 7, 24, 31 }} | ||
Badness: 0. | Badness: 0.026064 | ||
Scales: [[mohaha7]], [[mohaha10]] | Scales: [[mohaha7]], [[mohaha10]] | ||
== 13-limit == | == 13-limit == | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 1,302: | Line 1,300: | ||
POTE generator: ~11/9 = 348.558 | POTE generator: ~11/9 = 348.558 | ||
{{Val list | Vals: {{Val list| 7, 24, 31 }} | ||
Badness: 0. | Badness: 0.023388 | ||
Scales: [[mohaha7]], [[mohaha10]] | Scales: [[mohaha7]], [[mohaha10]] | ||
== 17-limit == | == 17-limit == | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 1,320: | Line 1,317: | ||
POTE generator: ~11/9 = 348.736 | POTE generator: ~11/9 = 348.736 | ||
{{Val list | Vals: {{Val list| 7, 24, 31, 86ef }} | ||
Badness: 0. | Badness: 0.020576 | ||
Scales: [[mohaha7]], [[mohaha10]] | Scales: [[mohaha7]], [[mohaha10]] | ||
== 19-limit == | == 19-limit == | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
| Line 1,338: | Line 1,334: | ||
POTE generator: ~11/9 = 348.810 | POTE generator: ~11/9 = 348.810 | ||
{{Val list | Vals: {{Val list| 7, 24, 31, 55, 86efh }} | ||
Badness: 0. | Badness: 0.017302 | ||
Scales: [[mohaha7]], [[mohaha10]] | Scales: [[mohaha7]], [[mohaha10]] | ||