User:Moremajorthanmajor/19edX: Difference between revisions
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'''19edX''' means division of a tenth interval into 19 equal parts. | |||
==Intervals== | == Intervals == | ||
{| class="wikitable" | |||
!Decade | |||
!Period | |||
! Notes | |||
|- | |||
| 6\5 | |||
|75.790 | |||
|Intense Aeolian-Subpental Dorian mode begins | |||
|- | |||
|29\24 | |||
|''76.316'' | |||
| | |||
|- | |||
|23\19 | |||
|76.454 | |||
| | |||
|- | |||
|17\14 | |||
|76.692 | |||
| | |||
|- | |||
|11\9 | |||
|77.193 | |||
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins | |||
|- | |||
|16\13 | |||
|77.733 | |||
| | |||
|- | |||
|21\17 | |||
|78.019 | |||
| | |||
|- | |||
|5\4 | |||
|''78.947'' | |||
|Subpental Dorian mode ends, Pental Dorian mode begins | |||
|- | |||
|24\19 | |||
|79.778 | |||
| | |||
|- | |||
|19\15 | |||
|80.000 | |||
| | |||
|- | |||
|14\11 | |||
|80.383 | |||
|Pental Dorian mode ends, Superpental Dorian mode begins | |||
|- | |||
|23\18 | |||
|80.702 | |||
| | |||
|- | |||
|9\7 | |||
|81.203 | |||
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins | |||
|- | |||
|31\24 | |||
|''81.579'' | |||
| | |||
|- | |||
|22\17 | |||
|81.734 | |||
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins | |||
|- | |||
|35\27 | |||
|87.872 | |||
| | |||
|- | |||
|13\10 | |||
|82.105 | |||
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins | |||
|- | |||
|17\13 | |||
|82.591 | |||
| | |||
|- | |||
|21\16 | |||
|82.896 | |||
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins | |||
|- | |||
|25\19 | |||
|83.102 | |||
| | |||
|- | |||
|29\22 | |||
|83.253 | |||
| | |||
|- | |||
|33\25 | |||
|83.368 | |||
| | |||
|- | |||
|4\3 | |||
|''84.211'' | |||
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins | |||
|- | |||
|19\14 | |||
|85.714 | |||
| | |||
|- | |||
|15\11 | |||
|86.124 | |||
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins | |||
|- | |||
|26\19 | |||
|86.427 | |||
| | |||
|- | |||
|11\8 | |||
|''86.842'' | |||
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins | |||
|- | |||
|18\13 | |||
|87.449 | |||
| | |||
|- | |||
|25\18 | |||
|87.719 | |||
| | |||
|- | |||
|7\5 | |||
|88.421 | |||
|Mixolydian-Ionian mode ends | |||
|}Golden/Pyrite Tunings±13¢ | |||
{| class="wikitable" style="text-align: center" | {| class="wikitable" style="text-align: center" | ||
! rowspan=" | ! rowspan="2" |Degrees | ||
! colspan="2" rowspan=" | ! colspan="2" rowspan="2" |Enneatonic | ||
! | ! rowspan="2" |Intense Aeolian-Subpental Dorian | ||
! colspan=" | ! colspan="3" |Dorian | ||
|- | |- | ||
! | !Subpental | ||
!Pental | |||
!Superpental | |||
|- | |- | ||
| |1 | |||
| | |||
|1 | |||
|Jb | |Jb | ||
|Ab | |Ab | ||
|76.15-77.5185 | |76.15-77.5185 | ||
|76.887-78.255 | |76.887-78.255 | ||
|79.435-80.804 | |79.435-80.804 | ||
|79.93-81.2985 | |79.93-81.2985 | ||
|- | |- | ||
|2 | | |2 | ||
| colspan="2" |G# | | colspan="2" |G# | ||
|152.3-155.037 | |152.3-155.037 | ||
|153.774-156.5105 | |153.774-156.5105 | ||
|158.87-161.607 | |158.87-161.607 | ||
|159.86-162.597 | |159.86-162.597 | ||
|- | |- | ||
|3 | | |3 | ||
|J | |J | ||
|''A'' | |''A'' | ||
|228.45-232.555 | |228.45-232.555 | ||
|230.6605-234.766 | |230.6605-234.766 | ||
|238.3055-242.411 | |238.3055-242.411 | ||
|239.79-243.896 | |239.79-243.896 | ||
|- | |- | ||
|4 | | |4 | ||
|A | |A | ||
|''B'' | |''B'' | ||
|304.6-310.074 | |304.6-310.074 | ||
|307.547-313.021 | |307.547-313.021 | ||
|317.741-323.214 | |317.741-323.214 | ||
|319.72-325.164 | |319.72-325.164 | ||
|- | |- | ||
|5 | | |5 | ||
|Bb | |Bb | ||
|''Cb'' | |''Cb'' | ||
|380.75-387.592 | |380.75-387.592 | ||
|384.434-391.276 | |384.434-391.276 | ||
|397.176-404.018 | |397.176-404.018 | ||
|399.6505-406.493 | |399.6505-406.493 | ||
|- | |- | ||
|6 | | |6 | ||
|A# | |A# | ||
|''B#'' | |''B#'' | ||
|456.9-465.111 | |456.9-465.111 | ||
|461.321-469.5315 | |461.321-469.5315 | ||
|476.611-484.8215 | |476.611-484.8215 | ||
|479.581-487.791 | |479.581-487.791 | ||
|- | |- | ||
|7 | | |7 | ||
|B | |B | ||
|''C'' | |''C'' | ||
|533.05-542.926 | |533.05-542.926 | ||
|538.208-547.787 | |538.208-547.787 | ||
|556.046-565.625 | |556.046-565.625 | ||
|559.511-569.09 | |559.511-569.09 | ||
|- | |- | ||
|8 | |8 | ||
|C | |C | ||
|''Q'' | |''Q'' | ||
|609.2-620.148 | |609.2-620.148 | ||
|615.095-626.042 | |615.095-626.042 | ||
|635.481-648.429 | |635.481-648.429 | ||
|639.441-650.388 | |639.441-650.388 | ||
|- | |- | ||
|9 | |9 | ||
|Qb | |Qb | ||
|''Db'' | |''Db'' | ||
|685.35-697.666 | |685.35-697.666 | ||
|691.981-704.297 | |691.981-704.297 | ||
|714.9165-727.232 | |714.9165-727.232 | ||
|719.371-731.687 | |719.371-731.687 | ||
|- | |- | ||
|10 | |10 | ||
|C# | |C# | ||
|''Q#'' | |''Q#'' | ||
|761.5-775.185 | |761.5-775.185 | ||
|768.868-782.5525 | |768.868-782.5525 | ||
|794.352-808.036 | |794.352-808.036 | ||
|799.301-812.985 | |799.301-812.985 | ||
|- | |- | ||
|11 | |11 | ||
|Q | |Q | ||
|''D'' | |''D'' | ||
|837.6505-852.703 | |837.6505-852.703 | ||
|845.755-860.808 | |845.755-860.808 | ||
|873.787-888.8395 | |873.787-888.8395 | ||
|879.231-894.284 | |879.231-894.284 | ||
|- | |- | ||
|12 | |12 | ||
|D | |D | ||
|''S'' | |''S'' | ||
|913.8005-930.222 | |913.8005-930.222 | ||
|922.642-939.063 | |922.642-939.063 | ||
|953.222-969.643 | |953.222-969.643 | ||
|959.161-975.582. | |959.161-975.582. | ||
|- | |- | ||
|13 | |13 | ||
| colspan="2" |Eb | | colspan="2" |Eb | ||
|989.951-1007.74 | |989.951-1007.74 | ||
|999.529-1017.318 | |999.529-1017.318 | ||
|1032.657-1050.447 | |1032.657-1050.447 | ||
|1039.091-1056.881 | |1039.091-1056.881 | ||
|- | |- | ||
|14 | |14 | ||
|D# | |D# | ||
|''S#'' | |''S#'' | ||
|1066.101-1085.2585 | |1066.101-1085.2585 | ||
|1076.416-1095.5735 | |1076.416-1095.5735 | ||
|1112.092-1131.25 | |1112.092-1131.25 | ||
|1119.021-1138.179 | |1119.021-1138.179 | ||
|- | |- | ||
|15 | |15 | ||
| colspan="2" |E | | colspan="2" |E | ||
|1142.251-1162.777 | |1142.251-1162.777 | ||
|1153.302-1173.829 | |1153.302-1173.829 | ||
|1191.5275-1212.054 | |1191.5275-1212.054 | ||
|1198.9515-1219.478 | |1198.9515-1219.478 | ||
|- | |- | ||
|16 | |16 | ||
| colspan="2" |Fb | | colspan="2" |Fb | ||
|1218.401-1240.295 | |1218.401-1240.295 | ||
|1230.159-1525.054 | |1230.159-1525.054 | ||
|1270.963-1292.857 | |1270.963-1292.857 | ||
|1279.882-1300.776 | |1279.882-1300.776 | ||
|- | |- | ||
|17 | |17 | ||
| colspan="2" |E# | | colspan="2" |E# | ||
|1294.551-1317.814 | |1294.551-1317.814 | ||
|1307.0769-1330.339 | |1307.0769-1330.339 | ||
|1350.298-1373.661 | |1350.298-1373.661 | ||
|1358.612-1382.075 | |1358.612-1382.075 | ||
|- | |- | ||
|18 | |18 | ||
| colspan="2" |F | | colspan="2" |F | ||
|1370.701-1395.332 | |1370.701-1395.332 | ||
|1383.963-1408.594 | |1383.963-1408.594 | ||
|1429.833-1454.465 | |1429.833-1454.465 | ||
|1438.742-1463.373 | |1438.742-1463.373 | ||
|- | |- | ||
|19 | |19 | ||
| colspan="2" |G | | colspan="2" |G | ||
|1446.851-1472.851 | |1446.851-1472.851 | ||
|1460.85-1486.85 | |1460.85-1486.85 | ||
|1509.268-1535.268 | |1509.268-1535.268 | ||
|1518.672-1544.672 | |1518.672-1544.672 | ||
|} | |} | ||
{| class="wikitable" style="text-align: center" | {| class="wikitable" style="text-align: center" | ||
!Degrees | !Degrees | ||
! colspan="4" |Enneatonic | ! colspan="4" |Enneatonic | ||
! | !Mohajira | ||
! | !Beatles | ||
|- | |- | ||
|1 | | |1 | ||
| colspan="2" |Gb | | colspan="2" |Gb | ||
|Jb | |Jb | ||
|Ab | |Ab | ||
|80.942-82.31 | |||
|80. | |||
|81.149-82.517 | |81.149-82.517 | ||
|- | |- | ||
|2 | | |2 | ||
| colspan="2" |F# | | colspan="2" |F# | ||
| colspan="2" |G# | | colspan="2" |G# | ||
|161.884-164.621 | |||
|161. | |||
|162.297-165.034 | |162.297-165.034 | ||
|- | |- | ||
|3 | | |3 | ||
| colspan="2" |G | | colspan="2" |G | ||
|J | |J | ||
|''A'' | |''A'' | ||
|242.826-246.931 | |||
|242. | |246.446-247.551 | ||
| | |||
|- | |- | ||
|4 | | |4 | ||
|J | |J | ||
|''A'' | |''A'' | ||
|A | |A | ||
|''B'' | |''B'' | ||
|323.7675-329.241 | |||
|323. | |||
|324.594-330.068 | |324.594-330.068 | ||
|- | |- | ||
|5 | | |5 | ||
|Ab | |Ab | ||
|''Bb'' | |''Bb'' | ||
|Bb | |Bb | ||
|''Cb'' | |''Cb'' | ||
| | |404.709-411.5515 | ||
|405.716-412.585 | |||
|405. | |||
|- | |- | ||
|6 | | |6 | ||
|J# | |J# | ||
|''A#'' | |''A#'' | ||
|A# | |A# | ||
|''B#'' | |''B#'' | ||
| | |485.651-493.862 | ||
|486.8915-495.102 | |486.8915-495.102 | ||
|- | |- | ||
|7 | | |7 | ||
|A | |A | ||
|''B'' | |''B'' | ||
|B | |B | ||
|''C'' | |''C'' | ||
| | |566.593-576.172 | ||
|568.04-577.619 | |568.04-577.619 | ||
|- | |- | ||
|8 | |8 | ||
Line 362: | Line 345: | ||
|C | |C | ||
|''Q'' | |''Q'' | ||
|647. | |647.535-658.482 | ||
|649.189-660.136 | |649.189-660.136 | ||
|- | |- | ||
|9 | |9 | ||
Line 372: | Line 353: | ||
|Qb | |Qb | ||
|''Db'' | |''Db'' | ||
| | |728.477-740.792 | ||
|730.337-742.653 | |730.337-742.653 | ||
|- | |- | ||
|10 | |10 | ||
Line 382: | Line 361: | ||
|C# | |C# | ||
|''Q#'' | |''Q#'' | ||
| | |809.419-823.103 | ||
|811.486-825.17 | |811.486-825.17 | ||
|- | |- | ||
|11 | |11 | ||
Line 392: | Line 369: | ||
|Q | |Q | ||
|''D'' | |''D'' | ||
| | |890.361-905.413 | ||
|892.6345-907.687 | |892.6345-907.687 | ||
|- | |- | ||
|12 | |12 | ||
Line 402: | Line 377: | ||
|D | |D | ||
|''S'' | |''S'' | ||
| | |971.302-987.7235 | ||
|973.783-990.204 | |||
|973.783-990. | |||
|- | |- | ||
|13 | |13 | ||
Line 411: | Line 384: | ||
|''Sb'' | |''Sb'' | ||
| colspan="2" |Eb | | colspan="2" |Eb | ||
| | |1052.244-1070.034 | ||
|1054.932-1072.721 | |1054.932-1072.721 | ||
|- | |- | ||
|14 | |14 | ||
Line 421: | Line 392: | ||
|D# | |D# | ||
|''S#'' | |''S#'' | ||
| | |1133.186-1152.344 | ||
|1136.08-1155.238 | |||
|1136.08- | |||
|- | |- | ||
|15 | |15 | ||
Line 430: | Line 399: | ||
|''S'' | |''S'' | ||
| colspan="2" |E | | colspan="2" |E | ||
| | |1214.128-1234.654 | ||
|1217.229-1237.755 | |1217.229-1237.755 | ||
|- | |- | ||
|16 | |16 | ||
| colspan="2" |Eb | | colspan="2" |Eb | ||
| colspan="2" |Fb | | colspan="2" |Fb | ||
| | |1295.07-1316.965 | ||
|1298.377-1320.272 | |1298.377-1320.272 | ||
|- | |- | ||
|17 | |17 | ||
Line 447: | Line 412: | ||
|''S#'' | |''S#'' | ||
| colspan="2" |E# | | colspan="2" |E# | ||
| | |1376.012-1399.275 | ||
|1379.526-1402.789 | |1379.526-1402.789 | ||
|- | |- | ||
|18 | |18 | ||
| colspan="2" |E | | colspan="2" |E | ||
| colspan="2" |F | | colspan="2" |F | ||
| | |1456.954-1481.585 | ||
|1460.675-1485.306 | |1460.675-1485.306 | ||
|- | |- | ||
|19 | |19 | ||
| colspan="2" |F | | colspan="2" |F | ||
| colspan="2" |G | | colspan="2" |G | ||
| | |1537.8955-1563.8955 | ||
|1541.823-1577.823 | |||
|1541.823- | |||
|} | |} | ||
{| class="wikitable" | {| class="wikitable" style="text-align: center" | ||
! rowspan=" | ! rowspan="3" |Degrees | ||
! colspan="2" rowspan=" | ! colspan="2" rowspan="3" |Enneatonic | ||
! colspan=" | ! colspan="4" |Mixolydian | ||
! rowspan="3" |Mixolydian-Ionian | |||
! | |||
|- | |- | ||
! | ! rowspan="2" |Subpental | ||
! | ! rowspan="2" |Pental | ||
! colspan=" | ! colspan="2" |Superpental | ||
|- | |- | ||
! | !Soft | ||
! | !Intense | ||
|- | |- | ||
| |1 | | |1 | ||
| colspan="2" |Gb | | colspan="2" |Gb | ||
|81.9905-83.359 | |81.9905-83.359 | ||
|82.347-83.716 | |82.347-83.716 | ||
|84.209-85.557 | |84.209-85.557 | ||
|85.598-86.967 | |85.598-86.967 | ||
|86.556-87.924 | |86.556-87.924 | ||
|- | |- | ||
| |2 | | |2 | ||
| colspan="2" |F# | | colspan="2" |F# | ||
|163.981-166.718 | |163.981-166.718 | ||
|164.694-167.431 | |164.694-167.431 | ||
|168.417-171.154 | |168.417-171.154 | ||
|171.1965-173.933 | |171.1965-173.933 | ||
|173.112-175.849 | |173.112-175.849 | ||
|- | |- | ||
| |3 | | |3 | ||
| colspan="2" |G | | colspan="2" |G | ||
|245.971-250.077 | |245.971-250.077 | ||
|247.0415-251.147 | |247.0415-251.147 | ||
|252.626-256.731 | |252.626-256.731 | ||
|256.795-260.9 | |256.795-260.9 | ||
|259.668-263.773 | |259.668-263.773 | ||
|- | |- | ||
| |4 | | |4 | ||
|J | |J | ||
|''A'' | |''A'' | ||
|327.962-333.436 | |327.962-333.436 | ||
|329.389-334.862 | |329.389-334.862 | ||
|336.835-342.308 | |336.835-342.308 | ||
|342.393-347.867 | |342.393-347.867 | ||
|346.224-351.6975 | |346.224-351.6975 | ||
|- | |- | ||
| |5 | | |5 | ||
|Ab | |Ab | ||
|''Bb'' | |''Bb'' | ||
|409.953-416.795 | |409.953-416.795 | ||
|411.736-418.578 | |411.736-418.578 | ||
|421.043-427.885 | |421.043-427.885 | ||
|427.991-434.833 | |427.991-434.833 | ||
|432.78-439.622 | |432.78-439.622 | ||
|- | |- | ||
| |6 | | |6 | ||
|J# | |J# | ||
|''A#'' | |''A#'' | ||
|491.943-500.154 | |491.943-500.154 | ||
|494.083-502.2935 | |494.083-502.2935 | ||
|505.252-513.462 | |505.252-513.462 | ||
|513.59-521.8 | |513.59-521.8 | ||
|519.336-527.546 | |519.336-527.546 | ||
|- | |- | ||
| |7 | | |7 | ||
|A | |A | ||
|''B'' | |''B'' | ||
|573.934-583.513 | |573.934-583.513 | ||
|576.43-586.001 | |576.43-586.001 | ||
|589.4605-599.0395 | |589.4605-599.0395 | ||
|599.188-608.767 | |599.188-608.767 | ||
|605.892-615.471 | |605.892-615.471 | ||
|- | |- | ||
|8 | |8 | ||
|B | |B | ||
|''H'' | |''H'' | ||
|655.924-666.872 | |655.924-666.872 | ||
|658.777-669.725 | |658.777-669.725 | ||
|673.669-684.6165 | |673.669-684.6165 | ||
|684.786-694.733 | |684.786-694.733 | ||
|692.448-703.395 | |692.448-703.395 | ||
|- | |- | ||
|9 | |9 | ||
|Hb | |Hb | ||
|''Cb'' | |''Cb'' | ||
|737.915-750.231 | |737.915-750.231 | ||
|741.1245-752.44 | |741.1245-752.44 | ||
|757.878-770.194 | |757.878-770.194 | ||
|770.384-782.7 | |770.384-782.7 | ||
|779.004-791.319 | |||
|779.004-791. | |||
|- | |- | ||
|10 | |10 | ||
|B# | |B# | ||
|''H#'' | |''H#'' | ||
|819.9055-833.59 | |819.9055-833.59 | ||
|834.451-837.156 | |834.451-837.156 | ||
|842.086-855.771 | |842.086-855.771 | ||
|855.983-879.244 | |855.983-879.244 | ||
|865.56-881.262 | |865.56-881.262 | ||
|- | |- | ||
|11 | |11 | ||
|H | |H | ||
|''C'' | |''C'' | ||
|901.896-916.949 | |901.896-916.949 | ||
|905.819-917.156 | |905.819-917.156 | ||
|926.295-941.348 | |926.295-941.348 | ||
|941.581-956.6335 | |941.581-956.6335 | ||
|952.1155-967.168 | |952.1155-967.168 | ||
|- | |- | ||
|12 | |12 | ||
|C | |C | ||
|''D'' | |''D'' | ||
|983.887-1000.308 | |983.887-1000.308 | ||
|988.166-1000.8715 | |988.166-1000.8715 | ||
|1010.503-1026.925 | |1010.503-1026.925 | ||
|1027.179-1043.6 | |1027.179-1043.6 | ||
|1038.6715-1055.093 | |1038.6715-1055.093 | ||
|- | |- | ||
|13 | |13 | ||
|Db | |Db | ||
|''Sb'' | |''Sb'' | ||
|1065.877-1083.667 | |1065.877-1083.667 | ||
|1070.513-1084.587 | |1070.513-1084.587 | ||
|1094.712-1112.502 | |1094.712-1112.502 | ||
|1112.777-1130.567 | |1112.777-1130.567 | ||
|1125.2275-1143.017 | |1125.2275-1143.017 | ||
|- | |- | ||
|14 | |14 | ||
|C# | |C# | ||
|''D#'' | |''D#'' | ||
|1147.868-1167.026 | |1147.868-1167.026 | ||
|1152.86-1168.303 | |1152.86-1168.303 | ||
|1178.921-1198.079 | |1178.921-1198.079 | ||
|1198.376-1217.5335 | |1198.376-1217.5335 | ||
|1211.783-1230.941 | |1211.783-1230.941 | ||
|- | |- | ||
|15 | |15 | ||
|D | |D | ||
|''S'' | |''S'' | ||
|1229.858-1250.3845 | |1229.858-1250.3845 | ||
|1235.2075-1252.018 | |1235.2075-1252.018 | ||
|1263.13-1283.656 | |1263.13-1283.656 | ||
|1283.974-1304.5 | |1283.974-1304.5 | ||
|1298.339-1318.451 | |1298.339-1318.451 | ||
|- | |- | ||
|16 | |16 | ||
| colspan="2" |Eb | | colspan="2" |Eb | ||
|1311.849-1333.743 | |1311.849-1333.743 | ||
|1317.555-1339.734 | |1317.555-1339.734 | ||
|1347.338-1369.233 | |1347.338-1369.233 | ||
|1369.572-1389.467 | |1369.572-1389.467 | ||
|1384.895-1406.79 | |1384.895-1406.79 | ||
|- | |- | ||
|17 | |17 | ||
|D# | |D# | ||
|''S#'' | |''S#'' | ||
|1393.839-1417.1025 | |1393.839-1417.1025 | ||
|1399.912-1423.165 | |1399.912-1423.165 | ||
|1431.547-1454.81 | |1431.547-1454.81 | ||
|1455.17-1478.434 | |1455.17-1478.434 | ||
|1471.451-1494.7145 | |1471.451-1494.7145 | ||
|- | |- | ||
|18 | |18 | ||
| colspan="2" |E | | colspan="2" |E | ||
|1475.83-1500.461 | |1475.83-1500.461 | ||
|1399.902-1499.446 | |1399.902-1499.446 | ||
|1515.756-1540.387 | |1515.756-1540.387 | ||
|1540.769-1565.4 | |1540.769-1565.4 | ||
|1558.007-1582.639 | |1558.007-1582.639 | ||
|- | |- | ||
|19 | |19 | ||
| colspan="2" |F | | colspan="2" |F | ||
|1557.82-1583.82 | |1557.82-1583.82 | ||
|1564.596-1590.596 | |1564.596-1590.596 | ||
|1599.964-1625.964 | |1599.964-1625.964 | ||
|1626.366-1652.366 | |1626.366-1652.366 | ||
|1644.563-1670.563 | |1644.563-1670.563 | ||
|} | |} | ||
== See also == | |||
* [[19ed5/2]] - equal division of the classic major tenth | |||
* [[19ed7/3]] - equal division of the septimal minor tenth | |||
[[Category:EdX]] | [[Category:EdX]] |