Here are diagrams for one of the two principle "Mohajira in eventone" regions: the Gentle-Lower Archytan region (taken as 703.4 to 708.0 cents). In the Gentle-Lower Archytan region, the alternating Mohajira generators are middle thirds at -8 and +9 fifths. Also of interest in surveying the melodic possibilities and tetrachordal qualities of these regions are the sizes of smaller and larger middle second steps forming the various genera (Arabic ajnas, the plural of jins, "genus") of a Mohajira tuning or mode. In the Gentle-Lower Archytan region, they are derived from +7 and -10 fifths. To obtain a basic 7-note Mohajira set within a tuning in the Meantone region, with its mappings for Mohajira generators of +16 and -15 fifths, we need at least a 19-MOS. Within the Gentle-Lower Archytan region, with its mappings of -8 and +9 fifths, a 12-MOS suffices for this basic Mohajira-7 set. These diagrams show Mohajira as found within the Gentle-Lower Archytan region. -------- Mohajira in Gentle-Lower Archytan spectrum -- 29-ed2 to 704.6 cents Contrast: 42.2___40.5___38.8___37.1___35.4___33.7___32.0___30.3___28.6___26.9___25.2___23.5___21.8 .........330.761.....332.208.333.041..............336.130.336.971....................340.552........> ..........23/19.......63/52...40/33................17/14..147/121.....................28/23......... +9 5ths: 330.6..331.5..332.4..333.3..334.2..335.1..336.0..336.9..337.8..338.7..339.6..340.5..341.4 5th......703.4..703.5..703.6..703.7..703.8..703.9..704.0..704.1..704.2..704.3..704.4..704.5..704.6..> -8 5ths: 372.8..372.0..371.2..370.4..369.6..368.8..368.0..367.2..366.4..365.6..364.8..364.0..363.2 ............31/25 .................26/21....99/80......................21/17..121/98............... ...........372.408................369.747..368.914....................365.825.364.984..............> Tuning...,.29-ed2.. Secor-HTT.....Acorn..104-ed2........Pepper..288-ed2...46-ed2........,....e-based 5th........703.447...703.579.....703.743.703.846........704.096.704.167...704.348............704.607 +9 5ths....331.034...332.208.....333.691.334.615........336.860.337.500...339.130............341.462 -8 5ths....372.413...371.370.....370.053.369.231........367.235.366.667...365.217............363.145 Contrast: __41.379_____39.162_____36.362__34.615_________30.375__29.167____26.087_____________21.683 Tuning...,.29-ed2...Secor-HTT.....Acorn..104-ed2........Pepper..288-ed2...46-ed2.............e-based 5th........703.447...703.579.....703.743.703.846........704.096.704.167...704.348............704.607 .+7 5ths...124.138...125.051.....126.204.126.923........128.669.129.167...130.435............132.248 -10 5ths...165.517...164.213.....162.566.161.538........159.044.158.333...156.522............153.931 Contrast: __41.379_____39.162_____36.362__34.615_________30.375__29.167____26.087_____________21.683 ......123.372.................125.922...............128.298....129.131.............................> ......189/172.................784/729................14/13.....320/297............................. .+7 5ths: 123.8..124.5..125.2..125.9..126.6..127.3..128.0..128.7..129.4..130.1..130.8..131.5..132.2 5th.......703.4..703.5..703.6..703.7..703.8..703.9..704.0..704.1..704.2..704.3..704.4..704.5..704.6..> -10 5ths: 166.0..165.0..164.0..163.0..162.0..161.0..160.0..159.0..158.0..157.0..156.0..155.0..154.0 Contrast:. 42.2___40.5___38.8___37.1___35.4___33.7___32.0___30.3___28.6___26.9___25.2___23.5___21.8 .........208/189.11/10......................484/441...................23/21........128/117........... .........165.837.165.004....................161.074..................157.493.......155.562...........> ------- Mohajira in Gentle-Lower Archytan spectrum -- 704.6 cents to 17-ed2 Contrast: 21.8___20.1___18.4___16.7___15.0___13.3___11.6____9.9____8.2____6.5____4.8____3.1___1.4___0 ..340.552........342.483..........344.738.............347.408................350.617.351.338.........> ...28/23..........39/32............72/59................11/9..................60/49...49/40.......... +9 5ths: 341.4..342.3..343.2..344.1..345.0..345.9..346.8..347.7..348.6..349.5..350.4..351.3..352.2 5th......704.6..704.7..704.8..704.9..705.0..705.1..705.2..705.3..705.4..705.5..705.6..705.7..705.8...> -8 5ths: 363.2..362.4..361.6..360.8..360.0..359.2..358.4..357.6..356.8..356.0..355.2..354.4..353.6 ........................69/56.............16/13..............59/48...................27/22........... .......................361.403...........359.472............357.217.................354.547..........> Tuning...e-based...63-ed2 ...........80-ed2.........pure-11/9.........pure-13/12...pure-27/22.....17-ed2 5th......704.607..704.762...........705.000..........705.268............705.510.....705.682......705.882 +9 5ths..341.462..342.857...........345.000..........347.408............355.917.....351.135......352.941 -8 5ths..363.145..361.905...........360.000..........357.860............349.953.....354.547......352.941 Contrast: 21.683___19.048____________15.000___________10.452______________6.324_______3.413_________0 Tuning...e-based...63-ed2 ...........80-ed2.........pure-11/9.........pure-13/12...pure-27/22.....17-ed2 5th......704.607..704.762...........705.000..........705.268............705.510......705.682......705.882 .+7 5ths.132.248..133.333...........135.000..........136.873............138.573......139.771......141.176 -10 5ths.153.931..152.381...........150.000..........147.325............144.896......143.184......141.176 Contrast: 21.683___19.048____________15.000___________10.452______________6.324________3.413_________0 .........132.220...133.238.133.810......................................138.573...............140.828.> ..........68/63.....27/25..121/112.......................................13/12.................64/59.. .+7 5ths: 132,2..132.9..133.6..134.3..135.0..135.7..136.4..137.1..137.8..138.5..139.2..139.9..140.6... 5th.......704.6..704.7..704.8..704.9..705.0..705.1..705.2..705.3..705.4..705.5..705.6..705.7..705.8...> -10 5ths: 154.0..153.0..152.0..151.0..150.0..149.0..148.0..147.0..146.0..145.0..144.0..143.0..142.0... Contrast: _21.8___20.1___18.4___16.7___15.0___13.3___11.6____9.9____8.2____6.5____4.8____3.1___1.4___0 ...............59/54...............12/11.....................4608/4235..............88/81............. ..............153.307.............150.637.....................146.135..............143.498............> ------- Mohajira in Gentle-Lower Archytan spectrum -- 17-ed2 to 707.1 cents Contrast: __0.3____2.0____3.7____5.4____7.1____8.8___10.5___12.2___13.9___15.6___17.3___19.0___20.7__ ....................354.547.............357.217.............359.472.......361.403.....................> .....................27/22...............59/48...............16/13.........69/56...................... +9 5ths:..353.1..354.0..354.9..355.8..356.7..357.6..358.5..359.4..360.3..361.2..362.1..363.0..363.9... 5th.......705.9..706.0..706.1..706.2..706.3..706.4..706.5..706.6..706.7..706.8..706.9..707.0..707.1...> -8 5ths:..352.8..352.0..351.2..350.4..349.6..348.8..348.0..347.2..346.4..345.6..344.8..344.0..343.2... .......................49/40...60/49......................11/9...................72/59..............39/32....> ......................351.338.350.617....................347.408................344.738............342.483... Tuning...17-ed2....pure-27/22..........pure-59/48..........pure-13/8..........pure-72/59.............. 5th......705.882....706.061.............706.357.............706.574.............706.908............... +9 5ths..352.941....354.547.............357.217.............347.136.............344.738............... -8 5ths..352.941....351.514.............349.141.............359.472.............362.169............... Contrast: 0_________3.033_______________8.076______________12.337______________17.431_______________ Tuning...17-ed2....pure-27/22..........pure-59/48..........pure-13/8..........pure-72/59.............. 5th......705.882....706.061.............706.357.............706.574.............706.908............... .+7 5ths.141.176....139.392.............136.426.............133.920.............130.923............... -10 5ths.141.176....142.425.............144.502.............146.256.............148.354............... Contrast: 0_________3.033_______________8.076______________12.337______________17.431_______________ .........132.220...133.238.133.810......................................138.573...............140.828.> ..........68/63.....27/25..121/112.......................................13/12.................64/59.. .+7 5ths: 141.3..142.0..142.7..143.4..144.1..144.8..145.5..146.2..146.9..147.6..148.3..149.0..149.7... 5th.......705.9..706.0..706.1..706.2..706.3..706.4..706.5..706.6..706.7..706.8..706.9..707.0..707.1...> -10 5ths: 141.0..140.0..139.0..138.0..137.0..136.0..135.0..134.0..133.0..132.0..131.0..130.0..129.0... Contrast: __0.3____2.0____3.7____5.4____7.1____8.8___10.5___12.2___13.9___15.6___17.3___19.0___20.7__ .............64/59..........13/12.........................121/112.27/25.......................320/297.. ............140.828........138.573........................133.810.133.238.....................129.121..> ------- Mohajira in Gentle-Lower Archytan spectrum -- 707.1 cents to 708.0 cents Contrast: _20.7___22.4___24.1___25.8___27.5___29.2___30.9___32.6___34.3___36.0_________> ..................364.984.365.825...............368.914.369.747............372.408.....> ..................121/98...21/17.................99/80...26/21..............31/25...... +9 5ths:..363.9..364.8..365.7..366.6..367.5..368.4..369.3..370.2..371.1..372.0......... 5th.......707.1..707.2..707.3..707.4..707.5..707.6..707.7..707.8..707.9..708.0.........> -8 5ths:..343.2..342.4..341.6..340.8..340.0..339.2..338.4..337.6..336.8..336.0......... ................39/32............28/23..........................147/121..17/14......... ...............342.483..........340.552.........................336.971.336.130........> Tuning....56-ed2..Secor-17WT..1/5-ArchC............39-ed2..17-Colorful................. 5th......707.143..707.220......707.408.............707.692.707.812..................... +9 5ths..364.286..364.984......366.670.............369.231.370.312..................... -8 5ths..342.857..342.236......340.737.............338.462.337.500..................... Contrast:_21.429___22.748_______25.933______________30.679__32.812_____________________ Tuning....56-ed2..Secor-17WT..1/5-ArchC............39-ed2..17-Colorful................. 5th......707.143..707.220......707.408.............707.692.707.812..................... .+7 5ths.150.000..150.543......151.855.............153.846.154.687..................... -10 5ths.128.571..127.780*.....125.922.............123.077.121.875*.................... Contrast:_21.429___22.748_______25.933______________30.679__32.812_____________________ ..................150.637....................153.307.................155.562...........> ...................12/11......................59/54..................128/117........... .+7 5ths: 149.7..150.4..151.1..151.8..152.5..153.2..153.9..154.6..155.3..156.0......... 5th.......707.1..707.2..707.3..707.4..707.5..707.6..707.7..707.8..707.9..708.0.........> -10 5ths: 129.0..128.0..127.0..126.0..125.0..124.0..123.0..122.0..121.0..120.0......... Contrast: _20.7___22.4___24.1___25.8___27.5___29.2___30.9___32.6___34.3___36.0_________> ................14/13..........784/729............189/176.......................15/14.. ...............128.298.........125.922............123.373......................119.443.> * 17-note irregular system with fewer than 10 large 5ths, so that this interval does not appear Margo Schulter 1 March 2018