Alpharabian tuning: Difference between revisions
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| 551.31794 | | 551.31794 | ||
| Axirabian paramajor fourth, just paramajor fourth | | Axirabian paramajor fourth, just paramajor fourth | ||
| This interval is the octave-reduced | | This interval is the octave-reduced 11th harmonic, and, it's one of two basic generator intervals that are not Pythagorean intervals. | ||
|- | |- | ||
| [[16/11]] | | [[16/11]] | ||
| 648.68206 | | 648.68206 | ||
| Axirabian paraminor fifth, just paraminor fifth | | Axirabian paraminor fifth, just paraminor fifth | ||
| This interval is the octave-reduced | | This interval is the octave-reduced 11th subharmonic, and, it's one of two basic generator intervals that are not Pythagorean intervals. | ||
|- | |- | ||
|} | |} | ||
| Line 76: | Line 76: | ||
| 53.272943 | | 53.272943 | ||
| Alpharabian ultraprime, Alpharabian parachroma, al-Farabi quartertone | | Alpharabian ultraprime, Alpharabian parachroma, al-Farabi quartertone | ||
| This interval is the octave-reduced 33rd harmonic, and it's the basic modifier interval for arriving at intervals of this class. | | This interval is the octave-reduced 33rd harmonic, and, it's the basic modifier interval for arriving at intervals of this class. | ||
|- | |- | ||
| [[8192/8019]] | | [[8192/8019]] | ||
| Line 185: | Line 185: | ||
| [[121/64]] | | [[121/64]] | ||
| 1102.6359 | | 1102.6359 | ||
| Axirabian major seventh | | Axirabian tendomean major seventh | ||
| This interval is the octave-reduced 121st harmonic. | | This interval is the octave-reduced 121st harmonic. | ||
|- | |- | ||
| [[128/121]] | | [[128/121]] | ||
| 97.364115 | | 97.364115 | ||
| Axirabian limma, Axirabian diatonic semitone, | | Axirabian artomean minor second, Axirabian limma, Axirabian diatonic semitone, | ||
| This interval is the octave-reduced 121st subharmonic. | | This interval is the octave-reduced 121st subharmonic. | ||
|- | |- | ||
| Line 210: | Line 210: | ||
| [[121/108]] | | [[121/108]] | ||
| 196.77088 | | 196.77088 | ||
| Alpharabian major second | | Alpharabian tendomean major second | ||
| This interval is the major counterpart of 128/121 and is reached by starting at 9/8 and moving downwards by 243/242. | | This interval is the major counterpart of 128/121 and is reached by starting at 9/8 and moving downwards by 243/242. | ||
|- | |- | ||
| [[144/121]] | | [[144/121]] | ||
| 301.27412 | | 301.27412 | ||
| Alpharabian minor third | | Alpharabian artomean minor third | ||
| This interval is reached by starting at 32/27 and moving upwards by 243/242. | | This interval is reached by starting at 32/27 and moving upwards by 243/242. | ||
|- | |- | ||
| [[121/96]] | | [[121/96]] | ||
| 400.68088 | | 400.68088 | ||
| Alpharabian major third | | Alpharabian tendomean major third | ||
| This interval is reached by starting at 81/64 and moving downwards by 243/242. | | This interval is reached by starting at 81/64 and moving downwards by 243/242. | ||
|- | |- | ||
| Line 245: | Line 245: | ||
| [[192/121]] | | [[192/121]] | ||
| 799.31912 | | 799.31912 | ||
| Alpharabian minor sixth | | Alpharabian artomean minor sixth | ||
| This interval is reached by starting at 128/81 and moving upwards by 243/242. | | This interval is reached by starting at 128/81 and moving upwards by 243/242. | ||
|- | |- | ||
| [[121/72]] | | [[121/72]] | ||
| 898.72588 | | 898.72588 | ||
| Alpharabian major sixth | | Alpharabian tendomean major sixth | ||
| This interval is reached by starting at 27/16 and moving downwards by 243/242. | | This interval is reached by starting at 27/16 and moving downwards by 243/242. | ||
|- | |- | ||
| [[216/121]] | | [[216/121]] | ||
| 1003. | | 1003.2291 | ||
| Alpharabian minor seventh | | Alpharabian artomean minor seventh | ||
| This interval is the minor counterpart of 121/64 and is reached by starting at 16/9 and moving upwards by 243/242. | | This interval is the minor counterpart of 121/64 and is reached by starting at 16/9 and moving upwards by 243/242. | ||
|- | |- | ||
| Line 262: | Line 262: | ||
| Rastmic narrow octave | | Rastmic narrow octave | ||
| This interval is the result of taking a rastma from an octave. | | This interval is the result of taking a rastma from an octave. | ||
|- | |||
|} | |||
{| class="mw-collapsible mw-collapsed wikitable center-1" | |||
|+ style=white-space:nowrap | Table of Class III Axirabian Intervals | |||
|- | |||
! Ratio | |||
! [[Cent]]s | |||
! Interval Name(s) | |||
! Notes | |||
|- | |||
| [[1331/1024]] | |||
| 453.95383 | |||
| Axirabian semilimmic ultramajor third | |||
| This interval is the octave-reduced 1331st harmonic | |||
|- | |||
| [[2048/1331]] | |||
| 746.04617 | |||
| Axirabian semilimmic inframinor sixth | |||
| This interval is the octave-reduced 1331st subharmonic | |||
|- | |||
|} | |||
{| class="mw-collapsible mw-collapsed wikitable center-1" | |||
|+ style=white-space:nowrap | Incomplete Table of Class III Alpharabian Intervals | |||
|- | |||
! Ratio | |||
! [[Cent]]s | |||
! Interval Name(s) | |||
! Notes | |||
|- | |||
| [[1331/1296]] | |||
| 46.133824 | |||
| Alpharabian semilimmic ultraprime, Alpharabian parachromatic semilimma | |||
| This is the larger, parachormatic half of a Pythagorean Limma, and, it's the basic modifier interval for arriving at intervals of this class. | |||
|- | |||
| [[4096/3993]] | |||
| 44.091172 | |||
| Alpharabian semilimmic inframinor second, Alpharabian paralimma, Alpharabian paradiatonic semilimma, | |||
| This interval is smaller, paradiatonic half of a Pythagorean Limma | |||
|- | |- | ||
|} | |} | ||