19-limit: Difference between revisions
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In 19-limit [[Just_intonation|Just Intonation]], all ratios in the system will contain no primes higher than 19. | In 19-limit [[Just_intonation|Just Intonation]], all ratios in the system will contain no primes higher than 19. | ||
==19-odd limit Intervals== | ==19-odd limit Intervals of 19== | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 7: | Line 7: | ||
! | Ratio | ! | Ratio | ||
! | Cents Value | ! | Cents Value | ||
! colspan="2" |[[Kite's color notation|Color name]] | |||
! | Name | ! | Name | ||
|- | |- | ||
| | [[20/19|20/19]] | | | [[20/19|20/19]] | ||
| | 88.801 | | | 88.801 | ||
|19uy1 | |||
|nuyo 1sn | |||
| | lesser undevicesimal semitone | | | lesser undevicesimal semitone | ||
|- | |- | ||
| | [[19/18|19/18]] | | | [[19/18|19/18]] | ||
| | 93.603 | | | 93.603 | ||
|19o2 | |||
|ino 2nd | |||
| | greater undevicesimal semitone | | | greater undevicesimal semitone | ||
|- | |- | ||
| | [[19/17|19/17]] | | | [[19/17|19/17]] | ||
| | 192.558 | | | 192.558 | ||
|19o17u2 | |||
|nosu 2nd | |||
| | undevicesimal whole tone ("meantone") | | | undevicesimal whole tone ("meantone") | ||
|- | |- | ||
| | [[22/19|22/19]] | | | [[22/19|22/19]] | ||
| | 253.805 | | | 253.805 | ||
|19u1o2 | |||
|nulo 2nd | |||
| | enneadecimal second–third | | | enneadecimal second–third | ||
|- | |- | ||
| | [[19/16|19/16]] | | | [[19/16|19/16]] | ||
| | 297.513 | | | 297.513 | ||
|19o3 | |||
|ino 3rd | |||
| | undevicesimal minor third | | | undevicesimal minor third | ||
|- | |- | ||
| | [[24/19|24/19]] | | | [[24/19|24/19]] | ||
| | 404.442 | | | 404.442 | ||
|19u3 | |||
|inu 3rd | |||
| | lesser undevicesimal major third | | | lesser undevicesimal major third | ||
|- | |- | ||
| | [[19/15|19/15]] | | | [[19/15|19/15]] | ||
| | 409.244 | | | 409.244 | ||
|19og4 | |||
|nogu 4th | |||
| | greater undevicesimal major third | | | greater undevicesimal major third | ||
|- | |- | ||
| | [[19/14|19/14]] | | | [[19/14|19/14]] | ||
| | 528.687 | | | 528.687 | ||
|19or4 | |||
|noru 4th | |||
| | undevicesimal acute fourth | | | undevicesimal acute fourth | ||
|- | |- | ||
| | [[26/19|26/19]] | | | [[26/19|26/19]] | ||
| | 543.015 | | | 543.015 | ||
|19u3o5 | |||
|nutho 5th | |||
| | undevicesimal superfourth | | | undevicesimal superfourth | ||
|- | |- | ||
| | [[19/13|19/13]] | | | [[19/13|19/13]] | ||
| | 656.985 | | | 656.985 | ||
|19o3u4 | |||
|nothu 4th | |||
| | undevicesimal subfifth | | | undevicesimal subfifth | ||
|- | |- | ||
| | [[28/19|28/19]] | | | [[28/19|28/19]] | ||
| | 671.313 | | | 671.313 | ||
|19uz5 | |||
|nuzo 5th | |||
| | undevicesimal grave fifth | | | undevicesimal grave fifth | ||
|- | |- | ||
| | [[30/19|30/19]] | | | [[30/19|30/19]] | ||
| | 790.756 | | | 790.756 | ||
|19uy5 | |||
|nuyo 5th | |||
| | lesser undevicesimal minor sixth | | | lesser undevicesimal minor sixth | ||
|- | |- | ||
| | [[19/12|19/12]] | | | [[19/12|19/12]] | ||
| | 795.558 | | | 795.558 | ||
|19o6 | |||
|ino 6th | |||
| | lesser undevicesimal minor sixth | | | lesser undevicesimal minor sixth | ||
|- | |- | ||
| | [[32/19|32/19]] | | | [[32/19|32/19]] | ||
| | 902.487 | | | 902.487 | ||
|19u6 | |||
|inu 6th | |||
| | undevicesimal major sixth | | | undevicesimal major sixth | ||
|- | |- | ||
| | [[19/11|19/11]] | | | [[19/11|19/11]] | ||
| | 946.195 | | | 946.195 | ||
|19o1u7 | |||
|nolu 7th | |||
| | enneadecimal sixth–seventh | | | enneadecimal sixth–seventh | ||
|- | |- | ||
| | [[34/19|34/19]] | | | [[34/19|34/19]] | ||
| | 1007.442 | | | 1007.442 | ||
|19u17o7 | |||
|nuso 7th | |||
| | undevicesimal minor seventh | | | undevicesimal minor seventh | ||
|- | |- | ||
| | [[36/19|36/19]] | | | [[36/19|36/19]] | ||
| | 1106.397 | | | 1106.397 | ||
|19u7 | |||
|inu 7th | |||
| | lesser undevicesimal major seventh | | | lesser undevicesimal major seventh | ||
|- | |- | ||
| | [[19/10|19/10]] | | | [[19/10|19/10]] | ||
| | 1111.199 | | | 1111.199 | ||
|19og8 | |||
|nogu 8ve | |||
| | greater undevicesimal major seventh | | | greater undevicesimal major seventh | ||
|} | |} | ||
see [[Harmonic_Limit|Harmonic Limit]] [[Category:19-limit]] | see [[Harmonic_Limit|Harmonic Limit]] | ||
[[Category:19-limit]] | |||
[[Category:limit]] | [[Category:limit]] | ||
[[Category:prime_limit]] | [[Category:prime_limit]] | ||
[[Category:rank_8]] | [[Category:rank_8]] | ||
Revision as of 00:00, 1 November 2018
In 19-limit Just Intonation, all ratios in the system will contain no primes higher than 19.
19-odd limit Intervals of 19
| Ratio | Cents Value | Color name | Name | |
|---|---|---|---|---|
| 20/19 | 88.801 | 19uy1 | nuyo 1sn | lesser undevicesimal semitone |
| 19/18 | 93.603 | 19o2 | ino 2nd | greater undevicesimal semitone |
| 19/17 | 192.558 | 19o17u2 | nosu 2nd | undevicesimal whole tone ("meantone") |
| 22/19 | 253.805 | 19u1o2 | nulo 2nd | enneadecimal second–third |
| 19/16 | 297.513 | 19o3 | ino 3rd | undevicesimal minor third |
| 24/19 | 404.442 | 19u3 | inu 3rd | lesser undevicesimal major third |
| 19/15 | 409.244 | 19og4 | nogu 4th | greater undevicesimal major third |
| 19/14 | 528.687 | 19or4 | noru 4th | undevicesimal acute fourth |
| 26/19 | 543.015 | 19u3o5 | nutho 5th | undevicesimal superfourth |
| 19/13 | 656.985 | 19o3u4 | nothu 4th | undevicesimal subfifth |
| 28/19 | 671.313 | 19uz5 | nuzo 5th | undevicesimal grave fifth |
| 30/19 | 790.756 | 19uy5 | nuyo 5th | lesser undevicesimal minor sixth |
| 19/12 | 795.558 | 19o6 | ino 6th | lesser undevicesimal minor sixth |
| 32/19 | 902.487 | 19u6 | inu 6th | undevicesimal major sixth |
| 19/11 | 946.195 | 19o1u7 | nolu 7th | enneadecimal sixth–seventh |
| 34/19 | 1007.442 | 19u17o7 | nuso 7th | undevicesimal minor seventh |
| 36/19 | 1106.397 | 19u7 | inu 7th | lesser undevicesimal major seventh |
| 19/10 | 1111.199 | 19og8 | nogu 8ve | greater undevicesimal major seventh |
see Harmonic Limit