Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 473047206 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 473394220 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-11- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-11-30 00:07:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>473394220</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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[[xenharmonic/kiribati14|Fourteen note chromatic scale]] | [[xenharmonic/kiribati14|Fourteen note chromatic scale]] | ||
= | =Score= | ||
Subgroup: 2.7.11.13 | |||
Commas: | Commas: 343/338, 847/832 | ||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~11/8 = 540.099 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 11/8; 343/338 847/832] | ||
Gencom map: [<1 | Gencom map: [<1 0 0 1 3 1|, <0 0 0 4 1 6|] | ||
Map: [<1 | Map: [<1 1 3 1|, <0 4 1 6|] | ||
EDOs: 5, | EDOs: 5, 7, 9, 11, 20 | ||
[[Tp tuning#T2%20tuning|RMS error]]: 1. | [[Tp tuning#T2%20tuning|RMS error]]: 1.282 cents | ||
[[image:xenharmonic/ | [[image:xenharmonic/score_20edo.jpg]] | ||
[[xenharmonic/ | [[xenharmonic/score5|Five note haplotonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/score7|Seven note albitonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/score9|Nine note mega albitonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/score11|Eleven note chromatic scale]] | ||
= | =Sensation= | ||
Group: 2.3.5.7 | Group: 2.3.5.7.13 | ||
Commas: | Commas: 91/90, 126/125, 169/168 | ||
Related temperaments: Sensi, Sensis, Sensus | |||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~9/7 = 443.322 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 9/7; 91/90 126/125 169/168] | ||
Gencom map: [<1 1 0 | Gencom map: [<1 -1 -1 -2 0 0|, <0 7 9 13 0 10|] | ||
Map: [<1 | Map: [<1 6 8 11 10|, <0 -7 -9 -13 -10|] | ||
EDOs: | EDOs: 19, 27, 46, 111de, 157de | ||
[[Tp tuning#T2%20tuning|RMS error]]: 1. | [[Tp tuning#T2%20tuning|RMS error]]: 1.321 cents | ||
[[ | [[xenharmonic/sensi5|Five note haplotonic scale]] | ||
[[xenharmonic/sensi8|Eight note albitonic scale]] | |||
[[xenharmonic/sensi11|Eleven note mega albitonic scale]] | |||
[[xenharmonic/sensi19|Nineteen note chromatic scale]] | |||
=Sensi= | |||
Group: 2.3.5.7 | |||
Commas: 126/125, 245/243 | |||
Val name: 19&27 | |||
[[Tp tuning|POT2 generator]]: ~9/7 = 443.383 | |||
[[ | [[Gencom]]: [2 9/7; 126/125 245/243] | ||
Gencom map: [<1 -1 -1 -2|, <0 7 9 13|] | |||
Map: [<1 6 8 11|, <0 -7 -9 -13|] | |||
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd | |||
[[Tp tuning#T2%20tuning|RMS error]]: 1.323 cents | |||
[[image:xenharmonic/sensi_46edo.jpg]] | |||
[[ | [[xenharmonic/sensi5|Five note haplotonic scale]] | ||
[[xenharmonic/sensi8|Eight note albitonic scale]] | |||
[[xenharmonic/sensi11|Eleven note mega albitonic scale]] | |||
[[xenharmonic/sensi19|Nineteen note chromatic scale]] | |||
=Meantone= | |||
Group: 2.3.5.7 | |||
Commas: 81/80, 126/125 | |||
Val name: 12&19 | |||
[[Tp tuning|POT2 generator]]: ~3/2 = 696.495 | |||
[[ | |||
[[Gencom]]: [2 3/2; 81/80 126/125] | |||
Gencom map: [<1 1 0 -3|, <0 1 4 10|] | |||
[[Tp tuning| | Map: [<1 0 -4 -13|, <0 1 4 10|] | ||
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b | |||
[[Tp tuning#T2%20tuning|RMS error]]: 1.382 cents | |||
[[ | [[image:meantone_31edo.jpg]] | ||
[[xenharmonic/meantone5|Five note haplotonic scale]] | |||
[[xenharmonic/meantone7|Seven note albitonic scale]] | |||
[[Tp tuning | [[xenharmonic/meantone12|Twelve note chromatic scale]] | ||
=Mohaha= | |||
Subgroup: 2.3.5.11 | |||
Commas: 81/80, 121/120 | |||
Related temperament: [[xenharmonic/Meantone family|mohajira]] | |||
[[Tp tuning|POT2 generator]]: ~11/9 = 348.094 | |||
[[Gencom]]: [2 11/9; 81/80 121/120] | |||
Gencom map: [<1 1 0 0 2|, <[0 2 8 0 5|] | |||
[[image:xenharmonic/ | Map: [<1 1 0 2|, <0 2 8 5|] | ||
EDOs: 24, 31, 55, 69d, 100d, 131bd | |||
[[Tp tuning#T2%20tuning|RMS error]]: 1.392 cents | |||
[[image:mohaha_131edo.png]] | |||
[[xenharmonic/mohaha7|Seven note albitonic scale]] | |||
[[xenharmonic/mohaha10|Ten note chromatic scale]] | |||
[[ | ==Music== | ||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]] by [[Billy Stiltner]] | |||
[[ | |||
=Tutone= | =Tutone= | ||
| Line 1,052: | Line 1,071: | ||
Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] | Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] | ||
EDOs: 25, 31, 68b, 99b | EDOs: 25, 31, 68b, 99b | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.439 cents | ||
[[xenharmonic/tutone6|Six note haplotonic scale]] | [[xenharmonic/tutone6|Six note haplotonic scale]] | ||
| Line 1,060: | Line 1,079: | ||
[[image:tutone_99edo.png]] | [[image:tutone_99edo.png]] | ||
= | =Stacks= | ||
Subgroup: 2.9.15.7.11.13 | |||
Commas: | Commas: 100/99, 105/104, 144/143, 196/195 | ||
Related | Related temperament: [[Magic family#Magic-13-limit|magic]] | ||
Svalname: 11&30 | |||
[[Tp tuning|POT2 generator]]: ~9/7 = | [[Tp tuning|POT2 generator]]: ~9/7 = 439.146 | ||
[[Gencom]]: [2 9/7; | [[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195] | ||
Gencom map: [<1 | Gencom map: [<1 5/2 5/2 5 2 7|, <0 -5/2 -1/2 -6 4 -9|] | ||
Map: [<1 6 | Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] | ||
EDOs: | EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.540 cents | ||
[[xenharmonic/ | [[xenharmonic/stacks5|Five note haplotonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/stacks8|Eight note albitonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/stacks11|Eleven note note chromatic scale]] | ||
[[xenharmonic/ | [[xenharmonic/stacks19|Nineteen note note mega chromatic scale]] | ||
= | =Bleu= | ||
Group: 2.3.7.11.13 | |||
Commas: 78/77, 99/98, 144/143 | |||
Sval name: 9&17 | |||
[[Tp tuning| | [[Tp tuning|POL2 generator]]: ~13/12 = 139.990 | ||
Gencom: [2 | [[Gencom]]: [2 13/12; 78/77 99/98 144/143] | ||
Gencom | Gencom map: [<1 1 0 2 3 3|, <0 5 0 7 4 6|] | ||
Map: [<1 2 | Map: [<1 1 2 3 3|, <0 5 7 4 6|] | ||
EDOs: | EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]] | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.752 cents | ||
[[ | [[image:blue_60edo.png]] | ||
[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]] | |||
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]] | |||
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | |||
[[ | [[http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3|On a Well Worn Riff (Bleu 17)]] by [[http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/|Chris Vaisvil]] | ||
=Sephiroth= | |||
Subgroup: 2.5.11.13.17 | |||
Commas: 65/64, 170/169, 221/220 | |||
Related temperament: muggles | |||
[[Tp tuning|POT2 generator]]: ~5/4 = 372.236 | |||
[[Tp tuning | |||
[[ | [[Gencom]]: [2 5/4; 65/64 170/169 221/220] | ||
[ | Gencom map: [<1 0 2 0 5 4 5|, <0 0 1 0 -5 -1 -3|] | ||
[ | |||
Map: [<1 0 15 6 11|, <0 1 -5 -1 -3|] | |||
EDOs: 10, 13, 16, 29c | |||
[[Tp tuning#T2%20tuning|RMS error]]: 1.774 cents | |||
[[ | [[xenharmonic/sephiroth7|Seven note haplotonic scale]] | ||
[[xenharmonic/sephiroth10|Ten note albitonic scale]] | |||
[[xenharmonic/sephiroth13|Thirteen note chromatic scale]] | |||
[[xenharmonic/sephiroth16|Sixteen note mega chromatic scale]] | |||
=Archy= | |||
Subgroup: 2.3.7 | |||
Comma: 64/63 | |||
[[Tp tuning|POT2 generator]]: ~3/2 = 709.321 | |||
[[Tp tuning | |||
[[ | Gencom: [2 3/2; 64/63] | ||
Gencom mapping: [<1 1 0 4|, <0 1 0 -2|] | |||
[ | Map: [<1 2 2|, <0 -1 2|] | ||
EDOs: 5, 12, 17, 22, 27, 137bc | |||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 1.856 cents | ||
[[ | [[xenharmonic/archy5|Five note haplotonic scale]] | ||
[[xenharmonic/archy7|Seven note albitonic scale]] | |||
[[xenharmonic/archy12|Twelve note chromatic scale]] | |||
=Suhajira | =Suhajira= | ||
Subgroup: 2.3.7.11 | Subgroup: 2.3.7.11 | ||
Commas: 64/63, 243/242 | Commas: 64/63, 243/242 | ||
| Line 1,149: | Line 1,168: | ||
Map: [<1 1 4 2|, <0 2 -4 5|] | Map: [<1 1 4 2|, <0 2 -4 5|] | ||
EDOs: 7, 10, 17, 61de | EDOs: 7, 10, 17, 61de | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.968 cents | ||
[[suhajira7]] - Seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | [[suhajira7]] - Seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | ||
| Line 1,155: | Line 1,174: | ||
[[suhajira17]] - note [[xenharmonic/chromatic scale|chromatic scale]] | [[suhajira17]] - note [[xenharmonic/chromatic scale|chromatic scale]] | ||
= | =Mohoho= | ||
Subgroup: 2.3. | Subgroup: 2.3.5.11.13 | ||
Commas: | Commas: 66/65, 81/80, 121/120 | ||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~11/9 = 348.916 | ||
[[Gencom]]: [2 3/2; 64/63 99/98] | [[Gencom]]: [2 11/9; 66/65 81/80 121/120] | ||
Gencom map: [<1 1 0 0 2 4|, <0 2 8 0 5 -1|] | |||
Map: [<1 1 0 2 4|, <0 2 8 5 -1|] | |||
EDOs: 17c, 24, 31, 55, 86de, 141cde | |||
[[Tp tuning#T2%20tuning|RMS error]]: 1.971 cents | |||
=Supra= | |||
Subgroup: 2.3.7.11 | |||
Commas: 64/63, 99/98 | |||
Related temperament: [[xenharmonic/suprapyth|suprapyth]] | |||
[[Tp tuning|POT2 generator]]: ~3/2 = 707.192 | |||
[[Gencom]]: [2 3/2; 64/63 99/98] | |||
Gencom map: [<1 1 0 4 7|, <0 1 0 -2 -6|] | Gencom map: [<1 1 0 4 7|, <0 1 0 -2 -6|] | ||
Map: [<1 0 6 13|, <0 1 -2 -6|] | Map: [<1 0 6 13|, <0 1 -2 -6|] | ||
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c | EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.977 cents | ||
[[image:supra_56edo.png]] | [[image:supra_56edo.png]] | ||
| Line 1,185: | Line 1,217: | ||
Map: [<1 0 6 13|, <0 1 -1 -3|] | Map: [<1 0 6 13|, <0 1 -1 -3|] | ||
EDOs: 5, 6, 11, 17, 28 | EDOs: 5, 6, 11, 17, 28 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.977 cents | ||
[[image:machine_28edo.png]] | [[image:machine_28edo.png]] | ||
| Line 1,193: | Line 1,225: | ||
[[xenharmonic/machine11|Eleven note chromatic scale]] | [[xenharmonic/machine11|Eleven note chromatic scale]] | ||
= | =Deutone= | ||
Subgroup: 2.5. | Subgroup: 2.9.5.7.13 | ||
Commas: 65/64, | Commas: 65/64, 81/80, 91/90 | ||
Related temperament: | Related temperament: [[xenharmonic/Meantone family|meanpop]] | ||
[[Tp tuning|POT2 generator]]: ~9/8 = 191.059 | |||
[[ | [[Gencom]]: [2 9/8; 65/64 81/80 91/90] | ||
Gencom map: [<1 3/2 2 2 0 4|, <0 1/2 2 5 0 -2|] | |||
Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|] | |||
EDOs: 6, 7, 13, 19, 25e, 44de | |||
[[Tp tuning#T2%20tuning|RMS error]]: 2.003 cents | |||
[[image:deutone_44edo.png]] | |||
[[xenharmonic/ | [[xenharmonic/deutone6|Six note haplotonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/deutone7|seven note albitonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/deutone13|Thirteen note chromatic scale]] | ||
= | =Supraphon= | ||
Subgroup: 2.3. | Subgroup: 2.3.7.11.13 | ||
Commas: | Commas: 64/63, 78/77, 99/98 | ||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~3/2 = 706.137 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 3/2; 64/63 78/77 99/98] | ||
Gencom map: [<1 1 0 | Gencom map: [<1 1 0 4 7 9|, <0 1 0 -2 -6 -9|] | ||
Map: [< | Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|] | ||
EDOs: | EDOs: 5, 7, 12, 17 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 2.095 cents | ||
= | =Negra= | ||
Subgroup: 2. | Subgroup: 2.3.5.7.13 | ||
Commas: 65/64 | Commas: 49/48, 65/64, 91/90 | ||
Related temperament: [[ | Related temperament: [[Marvel temperaments#Negri-13-limit|negri]] | ||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~14/13~13/12 = 125.567 cents | ||
[[Gencom]]: [2 | [[Gencom]]: [2 14/13; | ||
Gencom map: [<1 | Gencom map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|] | ||
Map: [<1 | Map: [<1 2 2 3 4|, <0 -4 3 -2 -3|] | ||
EDOs: 9, 10, 19, 29, 67cd*f, 86cd*f | |||
[[Tp tuning#T2%20tuning|RMS error]]: 2.147 cents | |||
EDOs: | |||
[[Tp tuning#T2%20tuning| | |||
=Porkypine= | =Porkypine= | ||
| Line 1,275: | Line 1,283: | ||
Map: [<1 2 3 4|, <0 3 5 4|] | Map: [<1 2 3 4|, <0 3 5 4|] | ||
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd | EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 2.287 cents | ||
[[xenharmonic/porkypine7|Seven note haplotonic scale]] | [[xenharmonic/porkypine7|Seven note haplotonic scale]] | ||
| Line 1,281: | Line 1,289: | ||
[[xenharmonic/porkypine15|Fifteen note chromatic scale]] | [[xenharmonic/porkypine15|Fifteen note chromatic scale]] | ||
= | =Skateboard= | ||
Subgroup: 2.3.7.11.13 | Subgroup: 2.5/3.7/3.11.13/9 | ||
Commas: | Commas: 56/55, 91/90, 100/99 | ||
Related temperament: [[Starling family#Thrasher-13-limit|thrasher]] | |||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~6/5 = 313.842 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 6/5; 56/55 91/90 100/99] | ||
Gencom map: [<1 | Gencom map: [<1 -3/7 4/7 11/7 4 -6/7|, <0 0 -1 -3 -2 2|] | ||
Map: [<1 0 | Map: [<1 0 -1 2 2|, <0 1 3 2 -2|] | ||
EDOs: | EDOs: 11, 15, 19, 23, 42d, 65d | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 2.396 cents | ||
[[xenharmonic/skateboard7|Seven note haplotonic scale]] | |||
[[xenharmonic/skateboard11|Eleven note albitonic scale]] | |||
[[xenharmonic/skateboard15|Fifteen note chromatic scale]] | |||
[[ | =Augment= | ||
Subgroup: 2.5.7.11 | |||
Commas: 56/55, 128/125 | |||
Related temperament: [[xenharmonic/Augmented family|augmented]] | |||
[[ | [[Tp tuning|POT2 generator]]: ~8/7 = 228.275 | ||
[[Gencom]]: [5/4 8/7; 56/55 128/125] | |||
Gencom map: [<3 0 7 9 11|, <0 0 0 -1 -1|] | |||
Map: [<3 7 0 2|, <0 0 1 1|] | |||
EDOs: 3, 6, 9, 15, 21 | |||
[[Tp tuning#T2%20tuning|RMS error]]: 2.422 cents | |||
[[ | [[image:augment_21edo.png]] | ||
[[ | [[xenharmonic/augment6|Six note haplotonic scale]] | ||
[[xenharmonic/augment9|Nine note albitonic scale]] | |||
[[xenharmonic/augment12|Twelve note chromatic scale]] | |||
=Semaphore= | |||
Subgroup: 2.3.7 | |||
Comma: 49/48 | |||
[[ | [[Tp tuning|POT2 generator]]: ~7/6 = 250.385 | ||
[[ | [[Gencom]]: [2 7/6; 49/48] | ||
[ | Gencom map: [<1 2 0 3}, <0 -2 0 -1|] | ||
[ | |||
Map: [<1 0 2|, <0 2 1|] | |||
EDOs: 5, 9, 14, 19, 24, 67c, 91c | |||
[[Tp tuning#T2%20tuning|RMS error]]: 2.523 cents | |||
[[ | [[image:semaphore_24edo.png]] | ||
[[ | [[xenharmonic/semiphore5|Five note haplotonic scale]] | ||
[[xenharmonic/semiphore9|Nine note albitonic scale]] | |||
[[xenharmonic/semiphore14|Fourteen note chromatic scale]] | |||
=Kryptonite= | |||
Subgroup: 2.5.7/3.11/3.13/3 | |||
[[ | Commas: 56/55, 78/77, 91/90 | ||
Related temperaments: [[Sengic family|krypton]] | |||
[[ | [[Tp tuning|POT2 generator]]: ~13/12 = 132.428 | ||
[[Gencom]]: [2 13/12; 56/55 78/77 91/90] | |||
Gencom map: [<1 -5/4 2 -1/4 3/4 3/4|, <0 -1/2 3 3/2 -3/2 1/2|] | |||
Map: [<1 2 1 2 2|, <0 -3 -2 1 -1|] | |||
EDOs: 9, 63, 82bd, 91bde | |||
[[Tp tuning#T2%20tuning|RMS error]]: 2.545 cents | |||
[[ | [[kryptonite9|Nine note albitonic scale]] | ||
[[ | [[kryptonite10|Ten note albitonic scale]] | ||
[[ | [[kryptonite19|Nineteen note mega chromatic scale]] | ||
=Oregon= | =Oregon= | ||
| Line 1,359: | Line 1,375: | ||
Map: [<1 1 1 5 2|, <0 3 4 -3 2|] | Map: [<1 1 1 5 2|, <0 3 4 -3 2|] | ||
EDOs: 7, 11, 37b, 48b, 59b | EDOs: 7, 11, 37b, 48b, 59b | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 2.550 cents | ||
[[xenharmonic/oregon7|Seven note haplotonic scale]] | [[xenharmonic/oregon7|Seven note haplotonic scale]] | ||
| Line 1,365: | Line 1,381: | ||
[[xenharmonic/oregon15|Fifteen note chromatic scale]] | [[xenharmonic/oregon15|Fifteen note chromatic scale]] | ||
= | =Antikythera= | ||
Subgroup: 2.5 | Subgroup: 2.9.5.7 | ||
Commas: | Commas: 50/49, 64/63 | ||
Related temperament: [[ | Related temperament: [[xenharmonic/pajara|pajara]] | ||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~8/7 = 214.095 | ||
[[Gencom]]: [ | [[Gencom]]: [7/5 8/7; 50/49 64/63] | ||
Gencom map: [< | Gencom map: [<2 3 5 6|, <0 1/2 -1 -1|] | ||
Map: [< | Map: [<2 0 11 12|, <0 1 -1 -1|] | ||
EDOS: 4, 6, 10, 16, 22, 28 | |||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 2.572 cents | ||
[[ | [[image:antikythera_28edo.png]] | ||
[[xenharmonic/antikythera6|Six note haplotonic scale]] | |||
[[xenharmonic/antikythera10|Ten note albitonic scale]] | |||
[[xenharmonic/antikythera16|Sixteen note chromatic scale]] | |||
[[ | |||
[[ | |||
=Glacial= | =Glacial= | ||
| Line 1,412: | Line 1,412: | ||
Map: [<1 0 -4 -6 10|, <0 1 2 3 -2|] | Map: [<1 0 -4 -6 10|, <0 1 2 3 -2|] | ||
EDOs: 6, 13, 45be, 58bce, 71bce, 84bce | EDOs: 6, 13, 45be, 58bce, 71bce, 84bce | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 2.887 cents | ||
[[glacial6|Six note haplotonic scale]] | [[glacial6|Six note haplotonic scale]] | ||
| Line 1,430: | Line 1,430: | ||
Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] | Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] | ||
EDOs: 6, 7, 13, 19, 25, 31, 56, 81 | EDOs: 6, 7, 13, 19, 25, 31, 56, 81 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 3.882 cents | ||
[[image:leantone_81edo.png]] | [[image:leantone_81edo.png]] | ||
| Line 1,438: | Line 1,438: | ||
[[xenharmonic/leantone13|Thirteen note chromatic scale]]</pre></div> | [[xenharmonic/leantone13|Thirteen note chromatic scale]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:163:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Barton">Barton</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Haumea">Haumea</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Tobago">Tobago</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Wizz">Wizz</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Edson">Edson</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Namo">Namo</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:200 --><!-- ws:start:WikiTextTocRule:201: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:201 --><!-- ws:start:WikiTextTocRule:202: --><!-- ws:end:WikiTextTocRule:202 --><!-- ws:start:WikiTextTocRule:203: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --> | <a href="#Laz">Laz</a><!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:206 --><!-- ws:start:WikiTextTocRule:207: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:207 --><!-- ws:start:WikiTextTocRule:208: --><!-- ws:end:WikiTextTocRule:208 --><!-- ws:start:WikiTextTocRule:209: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --> | <a href="#Sulis">Sulis</a><!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --><!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --> | <a href="#Kiribati">Kiribati</a><!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --> | <a href="# | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:163:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Barton">Barton</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Haumea">Haumea</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Tobago">Tobago</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Wizz">Wizz</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Edson">Edson</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Namo">Namo</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:200 --><!-- ws:start:WikiTextTocRule:201: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:201 --><!-- ws:start:WikiTextTocRule:202: --><!-- ws:end:WikiTextTocRule:202 --><!-- ws:start:WikiTextTocRule:203: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --> | <a href="#Laz">Laz</a><!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:206 --><!-- ws:start:WikiTextTocRule:207: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:207 --><!-- ws:start:WikiTextTocRule:208: --><!-- ws:end:WikiTextTocRule:208 --><!-- ws:start:WikiTextTocRule:209: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --> | <a href="#Sulis">Sulis</a><!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --><!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --> | <a href="#Kiribati">Kiribati</a><!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:218 --><!-- ws:start:WikiTextTocRule:219: --> | <a href="#Sensation">Sensation</a><!-- ws:end:WikiTextTocRule:219 --><!-- ws:start:WikiTextTocRule:220: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:220 --><!-- ws:start:WikiTextTocRule:221: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:221 --><!-- ws:start:WikiTextTocRule:222: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:222 --><!-- ws:start:WikiTextTocRule:223: --><!-- ws:end:WikiTextTocRule:223 --><!-- ws:start:WikiTextTocRule:224: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:224 --><!-- ws:start:WikiTextTocRule:225: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:225 --><!-- ws:start:WikiTextTocRule:226: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:226 --><!-- ws:start:WikiTextTocRule:227: --> | <a href="#Sephiroth">Sephiroth</a><!-- ws:end:WikiTextTocRule:227 --><!-- ws:start:WikiTextTocRule:228: --> | <a href="#Archy">Archy</a><!-- ws:end:WikiTextTocRule:228 --><!-- ws:start:WikiTextTocRule:229: --> | <a href="#Suhajira">Suhajira</a><!-- ws:end:WikiTextTocRule:229 --><!-- ws:start:WikiTextTocRule:230: --> | <a href="#Mohoho">Mohoho</a><!-- ws:end:WikiTextTocRule:230 --><!-- ws:start:WikiTextTocRule:231: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:231 --><!-- ws:start:WikiTextTocRule:232: --> | <a href="#Machine">Machine</a><!-- ws:end:WikiTextTocRule:232 --><!-- ws:start:WikiTextTocRule:233: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:233 --><!-- ws:start:WikiTextTocRule:234: --> | <a href="#Supraphon">Supraphon</a><!-- ws:end:WikiTextTocRule:234 --><!-- ws:start:WikiTextTocRule:235: --> | <a href="#Negra">Negra</a><!-- ws:end:WikiTextTocRule:235 --><!-- ws:start:WikiTextTocRule:236: --> | <a href="#Porkypine">Porkypine</a><!-- ws:end:WikiTextTocRule:236 --><!-- ws:start:WikiTextTocRule:237: --> | <a href="#Skateboard">Skateboard</a><!-- ws:end:WikiTextTocRule:237 --><!-- ws:start:WikiTextTocRule:238: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:238 --><!-- ws:start:WikiTextTocRule:239: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:239 --><!-- ws:start:WikiTextTocRule:240: --> | <a href="#Kryptonite">Kryptonite</a><!-- ws:end:WikiTextTocRule:240 --><!-- ws:start:WikiTextTocRule:241: --> | <a href="#Oregon">Oregon</a><!-- ws:end:WikiTextTocRule:241 --><!-- ws:start:WikiTextTocRule:242: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:242 --><!-- ws:start:WikiTextTocRule:243: --> | <a href="#Glacial">Glacial</a><!-- ws:end:WikiTextTocRule:243 --><!-- ws:start:WikiTextTocRule:244: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:244 --><!-- ws:start:WikiTextTocRule:245: --> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/kiribati14">Fourteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/kiribati14">Fourteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:109:&lt;h1&gt; --><h1 id="toc54"><a name=" | <!-- ws:start:WikiTextHeadingRule:109:&lt;h1&gt; --><h1 id="toc54"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:109 -->Score</h1> | ||
Subgroup: 2.7.11.13<br /> | |||
Commas: | Commas: 343/338, 847/832<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/8 = 540.099<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 126/125 245/243]<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/8; 343/338 847/832]<br /> | ||
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]<br /> | Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]<br /> | ||
<br /> | |||
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br /> | |||
EDOs: 5, 7, 9, 11, 20<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.282 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:277:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:277 --><br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score9">Nine note mega albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score11">Eleven note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:111:&lt;h1&gt; --><h1 id="toc55"><a name="Sensation"></a><!-- ws:end:WikiTextHeadingRule:111 -->Sensation</h1> | |||
Group: 2.3.5.7.13<br /> | |||
Commas: 91/90, 126/125, 169/168<br /> | |||
Related temperaments: Sensi, Sensis, Sensus<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 443.322<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 91/90 126/125 169/168]<br /> | |||
Gencom map: [&lt;1 -1 -1 -2 0 0|, &lt;0 7 9 13 0 10|]<br /> | |||
<br /> | |||
Map: [&lt;1 6 8 11 10|, &lt;0 -7 -9 -13 -10|]<br /> | |||
EDOs: 19, 27, 46, 111de, 157de<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.321 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8">Eight note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11">Eleven note mega albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:113:&lt;h1&gt; --><h1 id="toc56"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:113 -->Sensi</h1> | |||
Group: 2.3.5.7<br /> | |||
Commas: 126/125, 245/243<br /> | |||
Val name: 19&amp;27<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 443.383<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 126/125 245/243]<br /> | |||
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]<br /> | |||
<br /> | <br /> | ||
Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br /> | Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br /> | ||
| Line 2,404: | Line 2,443: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.323 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.323 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:278:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:278 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br /> | ||
| Line 2,411: | Line 2,450: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:115:&lt;h1&gt; --><h1 id="toc57"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:115 -->Meantone</h1> | ||
Group: 2.3.5.7<br /> | Group: 2.3.5.7<br /> | ||
Commas: 81/80, 126/125<br /> | Commas: 81/80, 126/125<br /> | ||
| Line 2,425: | Line 2,464: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.382 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.382 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:279:&lt;img src=&quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:279 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br /> | ||
| Line 2,431: | Line 2,470: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:117:&lt;h1&gt; --><h1 id="toc58"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:117 -->Mohaha</h1> | ||
Subgroup: 2.3.5.11<br /> | Subgroup: 2.3.5.11<br /> | ||
Commas: 81/80, 121/120<br /> | Commas: 81/80, 121/120<br /> | ||
| Line 2,443: | Line 2,482: | ||
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br /> | Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br /> | ||
EDOs: 24, 31, 55, 69d, 100d, 131bd<br /> | EDOs: 24, 31, 55, 69d, 100d, 131bd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.392 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:280:&lt;img src=&quot;/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" /><!-- ws:end:WikiTextLocalImageRule:280 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10">Ten note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10">Ten note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:119:&lt;h2&gt; --><h2 id="toc59"><a name="Mohaha-Music"></a><!-- ws:end:WikiTextHeadingRule:119 -->Music</h2> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br /> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:121:&lt;h1&gt; --><h1 id="toc60"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:121 -->Tutone</h1> | ||
Subgroup: 2.9.5.7.11<br /> | |||
Subgroup: 2.9.5.7.11<br /> | |||
Commas: 81/80, 99/98, 126/125<br /> | Commas: 81/80, 99/98, 126/125<br /> | ||
Related temperaments: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a>, <a class="wiki_link" href="/Hemimean%20family#Belobog">belobog</a>, hemithirds, hemiwürschmidt<br /> | Related temperaments: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a>, <a class="wiki_link" href="/Hemimean%20family#Belobog">belobog</a>, hemithirds, hemiwürschmidt<br /> | ||
| Line 2,485: | Line 2,504: | ||
Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br /> | Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br /> | ||
EDOs: 25, 31, 68b, 99b<br /> | EDOs: 25, 31, 68b, 99b<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.439 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br /> | ||
| Line 2,493: | Line 2,512: | ||
<!-- ws:start:WikiTextLocalImageRule:281:&lt;img src=&quot;/file/view/tutone_99edo.png/284592004/tutone_99edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /><!-- ws:end:WikiTextLocalImageRule:281 --><br /> | <!-- ws:start:WikiTextLocalImageRule:281:&lt;img src=&quot;/file/view/tutone_99edo.png/284592004/tutone_99edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /><!-- ws:end:WikiTextLocalImageRule:281 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:123:&lt;h1&gt; --><h1 id="toc61"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:123 -->Stacks</h1> | ||
Subgroup: 2.9.15.7.11.13<br /> | |||
Commas: | Commas: 100/99, 105/104, 144/143, 196/195<br /> | ||
Related | Related temperament: <a class="wiki_link" href="/Magic%20family#Magic-13-limit">magic</a><br /> | ||
Svalname: 11&amp;30<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 439.146<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 100/99 105/104 144/143 196/195]<br /> | ||
Gencom map: [&lt;1 | Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br /> | |||
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.540 cents<br /> | |||
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br /> | |||
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a><br /> | ||
| Line 2,549: | Line 2,532: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19">Nineteen note note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19">Nineteen note note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:125:&lt;h1&gt; --><h1 id="toc62"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:125 -->Bleu</h1> | ||
Group: 2.3.7.11.13<br /> | Group: 2.3.7.11.13<br /> | ||
Commas: 78/77, 99/98, 144/143<br /> | Commas: 78/77, 99/98, 144/143<br /> | ||
| Line 2,561: | Line 2,544: | ||
Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br /> | Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br /> | ||
EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br /> | EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.752 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule:282:&lt;img src=&quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /><!-- ws:end:WikiTextLocalImageRule:282 --><br /> | <!-- ws:start:WikiTextLocalImageRule:282:&lt;img src=&quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /><!-- ws:end:WikiTextLocalImageRule:282 --><br /> | ||
| Line 2,571: | Line 2,554: | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3" rel="nofollow">On a Well Worn Riff (Bleu 17)</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/" rel="nofollow">Chris Vaisvil</a><br /> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3" rel="nofollow">On a Well Worn Riff (Bleu 17)</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/" rel="nofollow">Chris Vaisvil</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:127:&lt;h1&gt; --><h1 id="toc63"><a name="Sephiroth"></a><!-- ws:end:WikiTextHeadingRule:127 -->Sephiroth</h1> | ||
Subgroup: 2.3.7.11<br /> | Subgroup: 2.5.11.13.17<br /> | ||
Commas: 65/64, 170/169, 221/220<br /> | |||
Related temperament: muggles<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~5/4 = 372.236<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 65/64 170/169 221/220]<br /> | |||
Gencom map: [&lt;1 0 2 0 5 4 5|, &lt;0 0 1 0 -5 -1 -3|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 15 6 11|, &lt;0 1 -5 -1 -3|]<br /> | |||
EDOs: 10, 13, 16, 29c<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.774 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth7">Seven note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth10">Ten note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth13">Thirteen note chromatic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth16">Sixteen note mega chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:129:&lt;h1&gt; --><h1 id="toc64"><a name="Archy"></a><!-- ws:end:WikiTextHeadingRule:129 -->Archy</h1> | |||
Subgroup: 2.3.7<br /> | |||
Comma: 64/63<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 709.321<br /> | |||
<br /> | |||
Gencom: [2 3/2; 64/63]<br /> | |||
Gencom mapping: [&lt;1 1 0 4|, &lt;0 1 0 -2|]<br /> | |||
<br /> | |||
Map: [&lt;1 2 2|, &lt;0 -1 2|]<br /> | |||
EDOs: 5, 12, 17, 22, 27, 137bc<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.856 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy5">Five note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy12">Twelve note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:131:&lt;h1&gt; --><h1 id="toc65"><a name="Suhajira"></a><!-- ws:end:WikiTextHeadingRule:131 -->Suhajira</h1> | |||
Subgroup: 2.3.7.11<br /> | |||
Commas: 64/63, 243/242<br /> | Commas: 64/63, 243/242<br /> | ||
<br /> | <br /> | ||
| Line 2,582: | Line 2,601: | ||
Map: [&lt;1 1 4 2|, &lt;0 2 -4 5|]<br /> | Map: [&lt;1 1 4 2|, &lt;0 2 -4 5|]<br /> | ||
EDOs: 7, 10, 17, 61de<br /> | EDOs: 7, 10, 17, 61de<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.968 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/suhajira7">suhajira7</a> - Seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="/suhajira7">suhajira7</a> - Seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
| Line 2,588: | Line 2,607: | ||
<a class="wiki_link" href="/suhajira17">suhajira17</a> - note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br /> | <a class="wiki_link" href="/suhajira17">suhajira17</a> - note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:133:&lt;h1&gt; --><h1 id="toc66"><a name="Mohoho"></a><!-- ws:end:WikiTextHeadingRule:133 -->Mohoho</h1> | ||
Subgroup: 2.3.7.11<br /> | Subgroup: 2.3.5.11.13<br /> | ||
Commas: 66/65, 81/80, 121/120<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 348.916<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 66/65 81/80 121/120]<br /> | |||
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]<br /> | |||
<br /> | |||
Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br /> | |||
EDOs: 17c, 24, 31, 55, 86de, 141cde<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.971 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:135:&lt;h1&gt; --><h1 id="toc67"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:135 -->Supra</h1> | |||
Subgroup: 2.3.7.11<br /> | |||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</a><br /> | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</a><br /> | ||
| Line 2,600: | Line 2,632: | ||
Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | ||
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br /> | EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule:283:&lt;img src=&quot;/file/view/supra_56edo.png/284870878/supra_56edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/supra_56edo.png/284870878/supra_56edo.png" alt="supra_56edo.png" title="supra_56edo.png" /><!-- ws:end:WikiTextLocalImageRule:283 --><br /> | <!-- ws:start:WikiTextLocalImageRule:283:&lt;img src=&quot;/file/view/supra_56edo.png/284870878/supra_56edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/supra_56edo.png/284870878/supra_56edo.png" alt="supra_56edo.png" title="supra_56edo.png" /><!-- ws:end:WikiTextLocalImageRule:283 --><br /> | ||
| Line 2,607: | Line 2,639: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:137:&lt;h1&gt; --><h1 id="toc68"><a name="Machine"></a><!-- ws:end:WikiTextHeadingRule:137 -->Machine</h1> | ||
Subgroup: 2.9.7.11<br /> | Subgroup: 2.9.7.11<br /> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
| Line 2,618: | Line 2,650: | ||
Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br /> | Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br /> | ||
EDOs: 5, 6, 11, 17, 28<br /> | EDOs: 5, 6, 11, 17, 28<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule:284:&lt;img src=&quot;/file/view/machine_28edo.png/284594814/machine_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/machine_28edo.png/284594814/machine_28edo.png" alt="machine_28edo.png" title="machine_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:284 --><br /> | <!-- ws:start:WikiTextLocalImageRule:284:&lt;img src=&quot;/file/view/machine_28edo.png/284594814/machine_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/machine_28edo.png/284594814/machine_28edo.png" alt="machine_28edo.png" title="machine_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:284 --><br /> | ||
| Line 2,626: | Line 2,658: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">Eleven note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">Eleven note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:139:&lt;h1&gt; --><h1 id="toc69"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:139 -->Deutone</h1> | ||
Subgroup: 2.5. | Subgroup: 2.9.5.7.13<br /> | ||
Commas: 65/64, | Commas: 65/64, 81/80, 91/90<br /> | ||
Related temperament: | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meanpop</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/8 = 191.059<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 65/64 81/80 91/90]<br /> | ||
Gencom map: [&lt;1 | Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 | Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br /> | ||
EDOs: | EDOs: 6, 7, 13, 19, 25e, 44de<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.003 cents<br /> | ||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextLocalImageRule:285:&lt;img src=&quot;/file/view/deutone_44edo.png/284596634/deutone_44edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/deutone_44edo.png/284596634/deutone_44edo.png" alt="deutone_44edo.png" title="deutone_44edo.png" /><!-- ws:end:WikiTextLocalImageRule:285 --><br /> | ||
< | |||
<br /> | <br /> | ||
< | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone7">seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone13">Thirteen note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextHeadingRule:141:&lt;h1&gt; --><h1 id="toc70"><a name="Supraphon"></a><!-- ws:end:WikiTextHeadingRule:141 -->Supraphon</h1> | ||
Subgroup: 2.3.7.11.13<br /> | |||
Commas: 64/63, 78/77, 99/98<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 706.137<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 64/63 78/77 99/98]<br /> | |||
Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]<br /> | |||
< | |||
<br /> | <br /> | ||
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br /> | |||
EDOs: 5, 7, 12, 17<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.095 cents<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <!-- ws:start:WikiTextHeadingRule:143:&lt;h1&gt; --><h1 id="toc71"><a name="Negra"></a><!-- ws:end:WikiTextHeadingRule:143 -->Negra</h1> | ||
Subgroup: 2.3.5.7.13<br /> | |||
Commas: 49/48, 65/64, 91/90<br /> | |||
Related temperament: <a class="wiki_link" href="/Marvel%20temperaments#Negri-13-limit">negri</a><br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~14/13~13/12 = 125.567 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 14/13;<br /> | |||
Gencom map: [&lt;1 2 2 3 0 4|, &lt;0 -4 3 -2 0 -3|]<br /> | |||
< | |||
<br /> | <br /> | ||
Map: [&lt;1 2 2 3 4|, &lt;0 -4 3 -2 -3|]<br /> | |||
EDOs: 9, 10, 19, 29, 67cd*f, 86cd*f<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.147 cents<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:145:&lt;h1&gt; --><h1 id="toc72"><a name="Porkypine"></a><!-- ws:end:WikiTextHeadingRule:145 -->Porkypine</h1> | |||
Subgroup: 2.3.5.11<br /> | |||
Commas: 55/54, 100/99<br /> | |||
<!-- ws:start:WikiTextHeadingRule: | |||
Subgroup: 2.3.5.11<br /> | |||
Commas: 55/54, 100/99<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~10/9 = 164.078<br /> | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~10/9 = 164.078<br /> | ||
| Line 2,708: | Line 2,716: | ||
Map: [&lt;1 2 3 4|, &lt;0 3 5 4|]<br /> | Map: [&lt;1 2 3 4|, &lt;0 3 5 4|]<br /> | ||
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd<br /> | EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.287 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine7">Seven note haplotonic scale</a><br /> | ||
| Line 2,714: | Line 2,722: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine15">Fifteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine15">Fifteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:147:&lt;h1&gt; --><h1 id="toc73"><a name="Skateboard"></a><!-- ws:end:WikiTextHeadingRule:147 -->Skateboard</h1> | ||
Subgroup: 2.3.7.11.13<br /> | Subgroup: 2.5/3.7/3.11.13/9<br /> | ||
Commas: | Commas: 56/55, 91/90, 100/99<br /> | ||
Related temperament: <a class="wiki_link" href="/Starling%20family#Thrasher-13-limit">thrasher</a><br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 313.842<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 56/55 91/90 100/99]<br /> | ||
Gencom map: [&lt;1 | Gencom map: [&lt;1 -3/7 4/7 11/7 4 -6/7|, &lt;0 0 -1 -3 -2 2|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 | Map: [&lt;1 0 -1 2 2|, &lt;0 1 3 2 -2|]<br /> | ||
EDOs: | EDOs: 11, 15, 19, 23, 42d, 65d<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.396 cents<br /> | ||
<br /> | <br /> | ||
< | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard7">Seven note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard11">Eleven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard15">Fifteen note chromatic scale</a><br /> | |||
<br /> | |||
<a class="wiki_link" href="/ | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:149:&lt;h1&gt; --><h1 id="toc74"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:149 -->Augment</h1> | |||
<!-- ws:start:WikiTextHeadingRule:149:&lt;h1&gt; --><h1 id="toc74"><a name=" | |||
Subgroup: 2.5.7.11<br /> | Subgroup: 2.5.7.11<br /> | ||
Commas: 56/55, 128/125<br /> | Commas: 56/55, 128/125<br /> | ||
| Line 2,773: | Line 2,752: | ||
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br /> | Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br /> | ||
EDOs: 3, 6, 9, 15, 21<br /> | EDOs: 3, 6, 9, 15, 21<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.422 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:286:&lt;img src=&quot;/file/view/augment_21edo.png/284598188/augment_21edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/augment_21edo.png/284598188/augment_21edo.png" alt="augment_21edo.png" title="augment_21edo.png" /><!-- ws:end:WikiTextLocalImageRule:286 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br /> | ||
| Line 2,781: | Line 2,760: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:151:&lt;h1&gt; --><h1 id="toc75"><a name="Semaphore"></a><!-- ws:end:WikiTextHeadingRule:151 -->Semaphore</h1> | ||
Subgroup: 2. | Subgroup: 2.3.7<br /> | ||
Comma: 49/48<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6 | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~7/6 = 250.385<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 6 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 49/48]<br /> | ||
Gencom map: [&lt;1 2 3 | Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 | Map: [&lt;1 0 2|, &lt;0 2 1|]<br /> | ||
EDOs: | EDOs: 5, 9, 14, 19, 24, 67c, 91c<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.523 cents<br /> | ||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextLocalImageRule:287:&lt;img src=&quot;/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png" alt="semaphore_24edo.png" title="semaphore_24edo.png" /><!-- ws:end:WikiTextLocalImageRule:287 --><br /> | ||
< | |||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore9">Nine note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14">Fourteen note chromatic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:153:&lt;h1&gt; --><h1 id="toc76"><a name="Kryptonite"></a><!-- ws:end:WikiTextHeadingRule:153 -->Kryptonite</h1> | ||
Subgroup: 2.5.7/3.11/3.13/3<br /> | Subgroup: 2.5.7/3.11/3.13/3<br /> | ||
Commas: 56/55, 78/77, 91/90<br /> | Commas: 56/55, 78/77, 91/90<br /> | ||
| Line 2,828: | Line 2,791: | ||
Map: [&lt;1 2 1 2 2|, &lt;0 -3 -2 1 -1|]<br /> | Map: [&lt;1 2 1 2 2|, &lt;0 -3 -2 1 -1|]<br /> | ||
EDOs: 9, 63, 82bd, 91bde<br /> | EDOs: 9, 63, 82bd, 91bde<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.545 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/kryptonite9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="/kryptonite9">Nine note albitonic scale</a><br /> | ||
<a class="wiki_link" href="/kryptonite10">Ten note albitonic scale</a><br /> | <a class="wiki_link" href="/kryptonite10">Ten note albitonic scale</a><br /> | ||
<a class="wiki_link" href="/kryptonite19">Nineteen note mega chromatic scale</a><br /> | <a class="wiki_link" href="/kryptonite19">Nineteen note mega chromatic scale</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:155:&lt;h1&gt; --><h1 id="toc77"><a name="Oregon"></a><!-- ws:end:WikiTextHeadingRule:155 -->Oregon</h1> | |||
Subgroup: 2.9.15.7.11<br /> | |||
Commas: 55/54, 64/63, 100/99<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 325.495<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 55/54 64/63 100/99]<br /> | |||
Gencom map: [&lt;1 2 3 2 4|, &lt;0 -3/2 -5/2 3 -2|]<br /> | |||
<br /> | |||
Map: [&lt;1 1 1 5 2|, &lt;0 3 4 -3 2|]<br /> | |||
EDOs: 7, 11, 37b, 48b, 59b<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.550 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon7">Seven note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon11">Eleven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon15">Fifteen note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:157:&lt;h1&gt; --><h1 id="toc78"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:157 -->Antikythera</h1> | |||
Subgroup: 2.9.5.7<br /> | |||
Commas: 50/49, 64/63<br /> | |||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara">pajara</a><br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~8/7 = 214.095<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [7/5 8/7; 50/49 64/63]<br /> | |||
Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]<br /> | |||
<br /> | |||
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br /> | |||
EDOS: 4, 6, 10, 16, 22, 28<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.572 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:288:&lt;img src=&quot;/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png" alt="antikythera_28edo.png" title="antikythera_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:288 --><br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera10">Ten note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16">Sixteen note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:159:&lt;h1&gt; --><h1 id="toc79"><a name="Glacial"></a><!-- ws:end:WikiTextHeadingRule:159 -->Glacial</h1> | <!-- ws:start:WikiTextHeadingRule:159:&lt;h1&gt; --><h1 id="toc79"><a name="Glacial"></a><!-- ws:end:WikiTextHeadingRule:159 -->Glacial</h1> | ||
| Line 2,845: | Line 2,845: | ||
Map: [&lt;1 0 -4 -6 10|, &lt;0 1 2 3 -2|]<br /> | Map: [&lt;1 0 -4 -6 10|, &lt;0 1 2 3 -2|]<br /> | ||
EDOs: 6, 13, 45be, 58bce, 71bce, 84bce<br /> | EDOs: 6, 13, 45be, 58bce, 71bce, 84bce<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.887 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/glacial6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="/glacial6">Six note haplotonic scale</a><br /> | ||
| Line 2,863: | Line 2,863: | ||
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br /> | Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br /> | ||
EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br /> | EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 3.882 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule:289:&lt;img src=&quot;/file/view/leantone_81edo.png/284593104/leantone_81edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/leantone_81edo.png/284593104/leantone_81edo.png" alt="leantone_81edo.png" title="leantone_81edo.png" /><!-- ws:end:WikiTextLocalImageRule:289 --><br /> | <!-- ws:start:WikiTextLocalImageRule:289:&lt;img src=&quot;/file/view/leantone_81edo.png/284593104/leantone_81edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/leantone_81edo.png/284593104/leantone_81edo.png" alt="leantone_81edo.png" title="leantone_81edo.png" /><!-- ws:end:WikiTextLocalImageRule:289 --><br /> | ||