& Micro870201: A music for wind instruments based on a mode of baran scale .
& Microhex5: A music based on 6.5-5.5 hexatonic scale (a semiaugmented tritone and semidiminished tritone) of
24-EDO with a pattern as 011101-010703:
0: 1/1 0.000
1: 50.000 cents 50.000
2: 600.000 cents 600.000
3: 650.000 cents 650.000
4: 700.000 cents 700.000
5: 1050.000 cents 1050.000
6: 2/1 1200.000
& Microhex4: A music based on 6.5-5.5 hexatonic scale (a semiaugmented tritone and semidiminished tritone) of
24-EDO with a pattern as 040504-050303:
0: 1/1 0.000 unison, perfect prime
1: 200.000 cents 200.000
2: 450.000 cents 450.000
3: 650.000 cents 650.000
4: 900.000 cents 900.000
5: 1050.000 cents 1050.000
6: 1200.000 cents 1200.000
& Microhex3: A music based on 6-6 and 7-5 hexatonic scales of 24-EDO.
6-6 hexatonic scale with a pattern as 060303-070203
0: 1/1 0.000 unison, perfect prime
1: 300.000 cents 300.000 center of garivity or shahed
2: 450.000 cents 450.000
3: 600.000 cents 600.000
4: 950.000 cents 950.000
5: 1050.000 cents 1050.000
6: 1200.000 cents 1200.000
7-5 hexatonic scale with a pattern as 030605-030205
0: 1/1 0.000 unison, perfect prime
1: 150.000 cents 150.000 the second "ist"
2: 450.000 cents 450.000 finalis
3: 700.000 cents 700.000
4: 850.000 cents 850.000
5: 950.000 cents 950.000 the first "ist"
6: 1200.000 cents 1200.000
The first part in 6-6 and the second in 7-5 and some bimodal usage of these 2 scales. the last part is in 6-6
& Microhex2:A music based on a 6.5-5.5 hexatonic scale of 96-EDO:
0: 1/1 0.000 unison, perfect prime
1: 137.500 cents 137.500
2: 437.500 cents 437.500
3: 650.000 cents 650.000
4: 887.500 cents 887.500
5: 1025.000 cents 1025.000
6: 1200.000 cents 1200.000
6.5-5.5 hexatonic scales are composed of a semiaugmented tritone and semidiminished tritone, each are filled by 3 intervals. Above scale is composed of 2 segments with a pattern as 112417-191114 which numbers indicate size of divisions in 96-EDO:
1: 137.500 cents 137.500
2: 300.000 cents 300.000
3: 212.500 cents 212.500
4: 237.500 cents 237.500
5: 137.500 cents 137.500
6: 175.000 cents 175.000
& Microhex1:A music based on a 6-6 hexatonic scale of 96-EDO:
0: 1/1
1: 137.500 cents
2: 337.500 cents
3: 600.000 cents
4: 737.500 cents
5: 937.500 cents
6: 2/1
6-6 hexatonic scales are composed of 2 equally-divided tritones , filled by 3 intervals as "ABC". Above scale is composed of 2 equal segments with a pattern as 111621-111621.Numbers indicate size of divisions in 96-EDO:
A=11*12.5=137.5 cent B=16*12.5=200 cent C=21*12.5=262.5 cent
Some well-known examples of 6-6 hexatonic scales are: Whole tone scale as the first mode of limited transposition , fifth mode of limited transposition.
& Microaginco:Being inspired by Agincourt Carol,i made this music in the below scale of 96-EDO:
0: 1/1
1: 75.000 cents
2: 150.000 cents
3: 237.500 cents
4: 325.000 cents
5: 412.500 cents
6: 537.500 cents
7: 662.500 cents
8: 725.000 cents
9: 837.500 cents
10: 950.000 cents
11: 1075.000 cents
12: 1200.000 cents
Look at the interesting structure of the scale and changes of it during modulation:
& Microtonal Dance : Composed in the below scale which consists of 2 unequal tetrachords.
First tetrachord with size of 537.5 cent which is a lower semiaugmented tetrachord and the second with size of 475 cent as a grave tetrachord.The junction has size of 187.5 cent.
0: 1/11: 137.500 cents
2: 375.000 cents
3: 537.500 cents
4: 725.000 cents
5: 937.500 cents
6: 1100.000 cents
7: 2/1
& Cyrus the great : Against portrayal of Persians in 300 (film) , I composed a Music in a mode of
baran scale (Bold degrees : 0 80 166.7 260 360 466.7 580 700 780 870 970 1080 1200 ) and in honour of Cyrus the great , the greatest and famous Persian Emperor of the Achamenid Dynasty (580-529BC) and a righteous human being.He was extraordinarily peerless in all over the world. Comparing Cyrus' manner with Semi's rulers, one feels great pleasure for the Persian liberality and generosity and truly regards the Persians as one of the instructors of human rights.
Cyrus cylinder
An old Iranian portrait of Cyrus the Great (artist's conception
Cyrus' tomb lies in the ruins of Pasargadae, now a UNESCO World Heritage Site (2006)
Music of jupiterians , the beings that inhabit the planet Jupiter and are humanoid in shape but with eight arms. This music is composed in Reverse baran scale.
& A jovial music :
This music is composed in a mode of Reverse baran scale ( Stared degrees):
0
120
230***
330
420***
500***
620
733.333***
840
940
1033.333
1120***
1200
It is based on modes with different centers of gravity as 7th , 9th,11th ,octave of 7th and 4th degrees and is dedicated to jlsmith ( His ZeBOX page) for his freidship and kindness to me.and many thanks to Margo schulter for her guidance to modal music of medieval era.she has an excellent article about relation between modal dastgah music of iran and medieval modes here.(Although she belives it needs being revised)
& Polymicro-3 : This music is composed in a mode of 24-EDL ( Stared degrees)with some modulations :
1/1 0
24/23 73.6806536
12/11 150.6370585***
8/7 231.1740935***
6/5 315.641287
24/19 404.4419847***
4/3 498.0449991
24/17 596.9995914***
3/2 701.9550009***
8/5 813.6862861
12/7 933.1290944***
24/13 1061.427339
2/1 1200.0
and then going to this mode in 12-ADO ( Stared degrees):
1/1 0
13/12 138.5726609
7/6 266.8709056***
5/4 386.3137139***
4/3 498.0449991
17/12 603.0004086***
3/2 701.9550009
19/12 795.5580153***
5/3 884.358713
7/4 968.8259065
11/6 1049.362941***
23/12 1126.319346
2/1 1200.0
& Rebellious music : A music based on a 120-EDL scale ( Stared degrees) as below :
0: 1/1 0.000
1: 40/37 134.970***
2: 120/107 198.508
3: 20/17 281.358***
4: 5/4 386.314
5: 4/3 498.045 ***
6: 120/83 638.221
7: 3/2 701.955 ***
8: 30/19 790.756 ***
9: 5/3 884.359
10: 30/17 983.313 ***
11: 40/21 1115.533
12: 2/1 1200.000
& Polymicro-2
I used "Yine bir Gulnihal aldi bu gonlumu" by Hammamizade İsmail Dede Efendi , a composer of Turkish classical music , to retune and make a polymicrotonal piece in a well-temperament based on 128-ADO and a mode of 17-EDO (Stared degrees):
Well-temperament based on 128-ADO
0: 1/1 0.000 ***
1: 17/16 104.955
2: 9/8 203.910 ***
((3: 19/16 297.513))
4: 161/128 397.100 ***
5: 171/128 501.423
6: 181/128 599.815 ***
7: 3/2 701.955 ***
8: 203/128 798.403
9: 215/128 897.831 ***
10: 57/32 999.468
11: 121/64 1102.636 ***
12: 2/1 1200.000
Degrees of 17-EDO
0: 1/1
1: 70.588 cents
2: 141.176 cents
3: 211.765 cents ***
((4: 282.353 cents))
5: 352.941 cents
6: 423.529 cents ***
7: 494.118 cents
8: 564.706 cents ***
9: 635.294 cents
10: 705.882 cents ***
11: 776.471 cents
12: 847.059 cents
13: 917.647 cents ***
14: 988.235 cents
15: 1058.824 cents ***
16: 1129.412 cents 17: 2/1
& Polymicro-1 : This microtonal piece is composed in baran scale and its 24-EDO version.For baran scale click here.
& For John chalmers :This piece is composed in honour of Dr.john chalmers ( and another link in Sonic-arts), for his efforts mainly in science of tuning and as a gift for new year.It is not a long time , being acquainted with this guru , but i found a good teacher and better to say , a good freind. This piece is composed Basically in 5-AID(4/3) with a1=66.406 cent .so,by considering 2 equal intervals with size of (4/3)^(1/2) , Finally we can see this 5-tone structure:
0.00000
66.40600
149.41350
249.02250
365.23300
4/3
Then adding a1 to 4/3 , inserting a new interval as 3/2 and extending to 12 note per ocatve lead us to this 12-tone scale with two equal tetrachords:
0: 1/1 0.000
1: 66.406 cents 66.406
2: 149.414 cents 149.414
3: 249.023 cents 249.023
4: 365.233 cents 365.233
5: 4/3 498.045
6: 564.451 cents 564.451
7: 3/2 701.955
8: 768.361 cents 768.361
9: 851.369 cents 851.369
10: 950.978 cents 950.978
11: 1067.188 cents 1067.188
12: 2/1 1200.000
This music is composed in a mode with this degrees : 0 2 3 5 7 9 10 12 . We have 3 point of nonconformity between two tetrachords.
& Music based on jupiter scale proposed by Elsie hamilton
In Naked light , web site of Brian lee which has some articles about Elsie hamilton , we can see one of hamilton's musics named "Steig hinauf zu höhern Kreise" , for soprano and alto lyre , in Jupiter scale which has this scale :E F# G A# B C D E in 18-EDL:
0: 1/1 0.000
1: 9/8 203.910
2: 6/5 315.641
3: 18/13 563.382
4: 3/2 701.955
5: 18/11 852.592
6: 9/5 1017.596
7: 2/1 1200.000
with divisions based on18:16:15:13:12:11:10:9
I used 22-EDL to start scale from C but the Melodic trend starts from E:
0: 1/1 0.000
1: 11/10 165.004
2: 11/9 347.408
3: 11/8 551.318
4: 22/15 663.049
5: 22/13 910.790
6: 11/6 1049.363
7: 2/1 1200.000
with divisions based on 22:20:18:16:15:13:12:11
in this serie we have 22:20:18 which is the same as 11:10:9.The overlap of this 2 scale is interesting , as if 18-EDL is a mode based on 22-EDL:
22:20:18:16:15:13:12:11
18:16:15:13:12:11:10:9
& Improvised microtonal music for setar with 3 strings in 96-EDO
This improvisation is played by setar with 3 strings which strings are tuned with possible accuracy:
1) 0 cent (with a frequncy of 163 Hz)
2) 500 cent from the first string
3) 812.5 cent from the first string
frets are placed with possible accuracy for:
Open strings ---------------------------------Frets----------------------------------------
0 125 312.5 500 725 887.5 1012.5 1075 1200
500 625 812.5 1000 1225 1387.5 1512.5 1575 1700
812.5 937.5 1125 1312.5 1537.5 1700 1825 1887.5 2012.5
& Second improvised microtonal music for setar with 3 strings in 96-EDO
This improvisation is played by setar with 3 strings which strings are tuned with possible accuracy:
1) 0 cent
2) 300 cent from the first string
3) 600 cent from the first string
frets are placed with possible accuracy for:
Open strings ---------------------Frets-------------
0 137.5 300 400 600
300 437.5 600 700 900
600 737.5 900 1037.5 1237.5
& For margo :This music is composed for margo schulter in her honour.It is in 124-EDL :
0: 1/1 0.000
1: 124/115 130.448
2: 62/51 338.125
3: 4/3 498.045
4: 124/83 694.988
5: 31/19 847.523
6: 31/17 1040.080
7: 2/1 1200.00