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The system has been approximated by [[22edo|22edo]], though the traditional tuning system is unequal, and split-shruti systems may approximated by the 22&34d (or 12&22 or even 10&12 generalized [[Diaschismic_family|Diaschismic]] if simplicity or accuracy is no object) temperament. | The system has been approximated by [[22edo|22edo]], though the traditional tuning system is unequal, and split-shruti systems may approximated by the 22&34d (or 12&22 or even 10&12 generalized [[Diaschismic_family|Diaschismic]] if simplicity or accuracy is no object) temperament. | ||
The [http://en.wikipedia.org/wiki/Shruti_%28music%29 Wikipedia entry on shrutis] gives a quite accurate approximation of the shruti system as a 22-note subset of [[53edo|53edo]] . (See also a discussion on the [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104546.html#104549 Yahoo tuning list].) | The [http://en.wikipedia.org/wiki/Shruti_%28music%29 Wikipedia entry on shrutis] gives a quite accurate approximation of the shruti system as a 22-note subset of [[53edo|53edo]]. (See also a discussion on the [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104546.html#104549 Yahoo tuning list] and immediately below for a duplication of the chart. | ||
{| class="wikitable" | |||
! colspan="4" |Shrutis | |||
! colspan="2" |24-TET | |||
! colspan="2" |106-TET | |||
|- | |||
!Name | |||
!Ratio | |||
!Cents | |||
! colspan="2" |Frequency | |||
(Hz) | |||
!Name | |||
!Step | |||
!Cents | |||
|- | |||
|Chandovatī | |||
|1 | |||
|0 | |||
| colspan="2" |261.6256 | |||
|C | |||
| colspan="2" |0 | |||
|- | |||
| | |||
|36/35 | |||
|49 | |||
|269.1005 | |||
|269.2918 | |||
|C‡ | |||
|4 | |||
|45.28 | |||
|- | |||
|Dayāvatī | |||
|256/243 | |||
|90 | |||
|275.6220 | |||
| rowspan="2" |277.1826 | |||
| rowspan="2" |D♭ | |||
|8 | |||
|90.57 | |||
|- | |||
|Ranjanī | |||
|16/15 | |||
|112 | |||
|279.0673 | |||
|10 | |||
|113.21 | |||
|- | |||
| | |||
|49/45 | |||
|147 | |||
|284.8812 | |||
|285.3047 | |||
|D{{music|d}} | |||
|13 | |||
|147.17 | |||
|- | |||
|Ratikā | |||
|10/9 | |||
|182 | |||
|290.6951 | |||
| rowspan="2" |293.6648 | |||
| rowspan="2" |D | |||
|16 | |||
|181.13 | |||
|- | |||
|Raudrī | |||
|9/8 | |||
|204 | |||
|294.3288 | |||
|18 | |||
|203.78 | |||
|- | |||
| | |||
|81/70 | |||
|253 | |||
|302.73815 | |||
|302.2698 | |||
|D‡ | |||
|22 | |||
|249.06 | |||
|- | |||
|Krodhā | |||
|32/27 | |||
|294 | |||
|310.0747 | |||
| rowspan="2" |311.1270 | |||
| rowspan="2" |E♭ | |||
|26 | |||
|294.34 | |||
|- | |||
|Vajrikā | |||
|6/5 | |||
|316 | |||
| 313.9507 | |||
|28 | |||
|316.98 | |||
|- | |||
| | |||
|11/9 | |||
|347 | |||
|319.7646 | |||
|320.2437 | |||
|E {{music|d}} | |||
|31 | |||
|350.94 | |||
|- | |||
|Prasāriṇī | |||
|5/4 | |||
|386 | |||
|327.0319 | |||
| rowspan="2" |329.6275 | |||
| rowspan="2" |E | |||
|34 | |||
|384.91 | |||
|- | |||
|Prīti | |||
|81/64 | |||
|408 | |||
|331.1198 | |||
|36 | |||
|407.55 | |||
|- | |||
| | |||
|35/27 | |||
|449 | |||
|339.14425 | |||
|339.2864 | |||
|E‡/F {{music|d}} | |||
|40 | |||
|452.83 | |||
|- | |||
|Mārjanī | |||
|4/3 | |||
|498 | |||
|348.8341 | |||
| rowspan="2" |349.2282 | |||
| rowspan="2" |F | |||
|44 | |||
|498.11 | |||
|- | |||
|Kṣhiti | |||
|27/20 | |||
|519 | |||
|353.1945 | |||
|46 | |||
|520.75 | |||
|- | |||
| | |||
|135/98 | |||
|554 | |||
|360.2046 | |||
|359.4614 | |||
|F‡ | |||
|49 | |||
|554.72 | |||
|- | |||
|Raktā | |||
|45/32 | |||
|590 | |||
|367.9109 | |||
| rowspan="2" |369.9944 | |||
| rowspan="2" |F# | |||
|52 | |||
|588.68 | |||
|- | |||
|Sandīpanī | |||
|729/512 | |||
|612 | |||
|372.5098 | |||
|54 | |||
|611.32 | |||
|- | |||
| | |||
|35/24 | |||
|653 | |||
|381.5373 | |||
|380.8361 | |||
|G {{music|d}} | |||
|58 | |||
|656.6 | |||
|- | |||
|Ālāpinī | |||
|3/2 | |||
|702 | |||
|392.4383 | |||
|391.9954 | |||
|G | |||
|62 | |||
|701.89 | |||
|- | |||
| | |||
|54/35 | |||
|751 | |||
|403.6509 | |||
|403.4818 | |||
|G‡ | |||
|66 | |||
|747.17 | |||
|- | |||
|Madantī | |||
|128/81 | |||
|792 | |||
|413.4330 | |||
| rowspan="2" |415.3047 | |||
| rowspan="2" |A♭ | |||
|70 | |||
|792.45 | |||
|- | |||
|Rohiṇī | |||
|8/5 | |||
|814 | |||
|418.6009 | |||
|72 | |||
|815.09 | |||
|- | |||
| | |||
|49/30 | |||
|849 | |||
|427.3218 | |||
|427.47405 | |||
|A‡ | |||
|75 | |||
|849.06 | |||
|- | |||
|Ramyā | |||
|5/3 | |||
|884 | |||
|436.0426 | |||
| rowspan="2" |440.0000 | |||
| rowspan="2" |A | |||
|78 | |||
|883.02 | |||
|- | |||
|Ugrā | |||
|27/16 | |||
|907 | |||
|441.4931 | |||
|80 | |||
|905.66 | |||
|- | |||
| | |||
|243/140 | |||
|955 | |||
|454.1072 | |||
|452.893 | |||
|A {{music|t}} | |||
|84 | |||
|950.94 | |||
|- | |||
|Kṣobhinī | |||
|16/9 | |||
|996 | |||
|465.1121 | |||
| rowspan="2" |466.1638 | |||
| rowspan="2" |B♭ | |||
|88 | |||
|996.23 | |||
|- | |||
|Tīvrā | |||
|9/5 | |||
|1017 | |||
|470.9260 | |||
|90 | |||
|1018.87 | |||
|- | |||
| | |||
|11/6 | |||
|1050 | |||
|479.6469 | |||
|479.8234 | |||
|B {{music|d}} | |||
|93 | |||
|1052.83 | |||
|- | |||
|Kumudvatī | |||
|15/8 | |||
|1088 | |||
|490.5479 | |||
| rowspan="2" |493.8833 | |||
| rowspan="2" |B | |||
|96 | |||
|1086.79 | |||
|- | |||
|Mandā | |||
|243/128 | |||
|1110 | |||
|496.6798 | |||
|98 | |||
|1109.43 | |||
|- | |||
| | |||
|35/18 | |||
|1151 | |||
|508.7164 | |||
|508.3552 | |||
|B‡/C {{music|d}} | |||
|102 | |||
|1154.72 | |||
|- | |||
|Chandovatī | |||
|2 | |||
|1200 | |||
| colspan="2" |523.2511 | |||
|C | |||
|106 | |||
|1200 | |||
|} | |||
Some derivations in the light of modern temperament theory: [[Magic22_as_srutis|Magic22 and Shrutar22 as srutis]] | Some derivations in the light of modern temperament theory: [[Magic22_as_srutis|Magic22 and Shrutar22 as srutis]] | ||