EPIDSM Locrian
From EverybodyWiki Bios & Wiki
EPIDSM Locrian is the seventh of seven categories in Expanded Ptolemy's Intense Diatonic Scale to Modes
The method uses the terms home note and root note. Home note is used to describe the note for which mode expansion is derived and root note is used to describe a particular mode [1]. All together there are 49 modes, separated into 7 categories where the home note ratio is held constant through-out.
Home note: Ti
Root Note: Ti
| Locrian - Locrian | Degree | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 1 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Solfege | Ti | Do | Re | Mi | Fa | Sol | La | Ti | |||||||||
| Ratio | 1/1 | 21/20 | 7/6 | 4/3 | 7/5 | 14/9 | 7/4 | 2/1 | |||||||||
| Decimal | 1.0000000000 | 1.0500000000 | 1.1666666667 | 1.3333333333 | 1.4000000000 | 1.5555555556 | 1.7500000000 | 2.0000000000 | |||||||||
| Steps | By 1 step | 21/20 | 10/9 | 8/7 | 21/20 | 10/9 | 9/8 | 8/7 | |||||||||
| By 2 steps | 8/7 | 80/63 | 6/5 | 7/6 | 5/4 | 9/7 | 6/5 | ||||||||||
| By 3 steps | 4/3 | 4/3 | 4/3 | 21/16 | 10/7 | 27/20 | 4/3 | ||||||||||
| By 4 steps | 7/5 | 40/27 | 3/2 | 3/2 | 3/2 | 3/2 | 32/21 | ||||||||||
| By 5 steps | 14/9 | 5/3 | 12/7 | 63/40 | 5/3 | 12/7 | 8/5 | ||||||||||
| By 6 steps | 7/4 | 40/21 | 9/5 | 7/4 | 40/21 | 9/5 | 16/9 | ||||||||||
Home note: Ti
Root Note: Do
| Locrian - Ionian | Degree | 7 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Solfege | Ti | Do | Re | Mi | Fa | Sol | La | Ti | |||||||||
| Ratio | 1/1 | 16/15 | 6/5 | 4/3 | 64/45 | 8/5 | 16/9 | 2/1 | |||||||||
| Decimal | 1.0000000000 | 1.0666666667 | 1.2000000000 | 1.3333333333 | 1.4222222222 | 1.6000000000 | 1.7777777778 | 2.0000000000 | |||||||||
| Steps | By 1 step | 16/15 | 9/8 | 10/9 | 16/15 | 9/8 | 10/9 | 9/8 | |||||||||
| By 2 steps | 6/5 | 5/4 | 32/27 | 6/5 | 5/4 | 5/4 | 6/5 | ||||||||||
| By 3 steps | 4/3 | 4/3 | 4/3 | 4/3 | 45/32 | 4/3 | 27/20 | ||||||||||
| By 4 steps | 64/45 | 3/2 | 40/27 | 3/2 | 3/2 | 3/2 | 3/2 | ||||||||||
| By 5 steps | 8/5 | 5/3 | 5/3 | 8/5 | 27/16 | 5/3 | 8/5 | ||||||||||
| By 6 steps | 16/9 | 15/8 | 16/9 | 9/5 | 15/8 | 16/9 | 9/5 | ||||||||||
Home note: Ti
Root Note: Re
| Locrian - Dorian | Degree | 6 | 7 | 1 | 2 | 3 | 4 | 5 | 6 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Solfege | Ti | Do | Re | Mi | Fa | Sol | La | Ti | |||||||||
| Ratio | 1/1 | 21/20 | 7/6 | 21/16 | 7/5 | 14/9 | 7/4 | 2/1 | |||||||||
| Decimal | 1.0000000000 | 1.0500000000 | 1.1666666667 | 1.3125000000 | 1.4000000000 | 1.5555555556 | 1.7500000000 | 2.0000000000 | |||||||||
| Steps | By 1 step | 21/20 | 10/9 | 9/8 | 16/15 | 10/9 | 9/8 | 8/7 | |||||||||
| By 2 steps | 7/6 | 5/4 | 6/5 | 32/27 | 5/4 | 9/7 | 6/5 | ||||||||||
| By 3 steps | 21/16 | 4/3 | 4/3 | 4/3 | 10/7 | 27/20 | 4/3 | ||||||||||
| By 4 steps | 7/5 | 40/27 | 3/2 | 32/21 | 3/2 | 3/2 | 3/2 | ||||||||||
| By 5 steps | 14/9 | 5/3 | 12/7 | 8/5 | 5/3 | 27/16 | 8/5 | ||||||||||
| By 6 steps | 7/4 | 40/21 | 9/5 | 16/9 | 15/8 | 9/5 | 16/9 | ||||||||||
Home note: Ti
Root Note: Mi
| Locrian - Phrygian | Degree | 5 | 6 | 7 | 1 | 2 | 3 | 4 | 5 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Solfege | Ti | Do | Re | Mi | Fa | Sol | La | Ti | |||||||||
| Ratio | 1/1 | 16/15 | 6/5 | 4/3 | 7/5 | 8/5 | 16/9 | 2/1 | |||||||||
| Decimal | 1.0000000000 | 1.0666666667 | 1.2000000000 | 1.3333333333 | 1.4000000000 | 1.6000000000 | 1.7777777778 | 2.0000000000 | |||||||||
| Steps | By 1 step | 16/15 | 9/8 | 10/9 | 21/20 | 8/7 | 10/9 | 9/8 | |||||||||
| By 2 steps | 6/5 | 5/4 | 7/6 | 6/5 | 80/63 | 5/4 | 6/5 | ||||||||||
| By 3 steps | 4/3 | 21/16 | 4/3 | 4/3 | 10/7 | 4/3 | 27/20 | ||||||||||
| By 4 steps | 7/5 | 3/2 | 40/27 | 3/2 | 32/21 | 3/2 | 3/2 | ||||||||||
| By 5 steps | 8/5 | 5/3 | 5/3 | 8/5 | 12/7 | 5/3 | 63/40 | ||||||||||
| By 6 steps | 16/9 | 15/8 | 16/9 | 9/5 | 40/21 | 7/4 | 9/5 | ||||||||||
Home note: Ti
Root Note: Fa
| Locrian - Lydian | Degree | 4 | 5 | 6 | 7 | 1 | 2 | 3 | 4 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Solfege | Ti | Do | Re | Mi | Fa | Sol | La | Ti | |||||||||
| Ratio | 1/1 | 21/20 | 7/6 | 21/16 | 7/5 | 63/40 | 7/4 | 2/1 | |||||||||
| Decimal | 1.0000000000 | 1.0500000000 | 1.1666666667 | 1.3125000000 | 1.4000000000 | 1.5750000000 | 1.7500000000 | 2.0000000000 | |||||||||
| Steps | By 1 step | 21/20 | 10/9 | 9/8 | 16/15 | 9/8 | 10/9 | 8/7 | |||||||||
| By 2 steps | 7/6 | 5/4 | 6/5 | 6/5 | 5/4 | 80/63 | 6/5 | ||||||||||
| By 3 steps | 21/16 | 4/3 | 27/20 | 4/3 | 10/7 | 4/3 | 4/3 | ||||||||||
| By 4 steps | 7/5 | 3/2 | 3/2 | 32/21 | 3/2 | 40/27 | 3/2 | ||||||||||
| By 5 steps | 63/40 | 5/3 | 12/7 | 8/5 | 5/3 | 5/3 | 8/5 | ||||||||||
| By 6 steps | 7/4 | 40/21 | 9/5 | 16/9 | 15/8 | 16/9 | 9/5 | ||||||||||
Home note: Ti
Root Note: Sol
| ? - ? | Degree | 3 | 4 | 5 | 6 | 7 | 1 | 2 | 3 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Solfege | Ti | Do | Re | Mi | Fa | Sol | La | Ti | |||||||||
| Ratio | 1/1 | 16/15 | 6/5 | 4/3 | 7/5 | 8/5 | 9/5 | 2/1 | |||||||||
| Decimal | 1.0000000000 | 1.0666666667 | 1.2000000000 | 1.3333333333 | 1.4000000000 | 1.6000000000 | 1.8000000000 | 2.0000000000 | |||||||||
| Steps | By 1 step | 16/15 | 9/8 | 10/9 | 21/20 | 8/7 | 9/8 | 10/9 | |||||||||
| By 2 steps | 6/5 | 5/4 | 7/6 | 6/5 | 9/7 | 5/4 | 32/27 | ||||||||||
| By 3 steps | 4/3 | 21/16 | 4/3 | 27/20 | 10/7 | 4/3 | 4/3 | ||||||||||
| By 4 steps | 7/5 | 3/2 | 3/2 | 3/2 | 32/21 | 3/2 | 40/27 | ||||||||||
| By 5 steps | 8/5 | 27/16 | 5/3 | 8/5 | 12/7 | 5/3 | 14/9 | ||||||||||
| By 6 steps | 9/5 | 15/8 | 16/9 | 9/5 | 40/21 | 7/4 | 16/9 | ||||||||||
Home note: Ti
Root Note: La
| Locrian - Aeolian | Degree | 2 | 3 | 4 | 5 | 6 | 7 | 1 | 2 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Solfege | Ti | Do | Re | Mi | Fa | Sol | La | Ti | |||||||||
| Ratio | 1/1 | 16/15 | 32/27 | 4/3 | 64/45 | 8/5 | 16/9 | 2/1 | |||||||||
| Decimal | 1.0000000000 | 1.0666666667 | 1.1851851852 | 1.3333333333 | 1.4222222222 | 1.6000000000 | 1.7777777778 | 2.0000000000 | |||||||||
| Steps | By 1 step | 16/15 | 10/9 | 9/8 | 16/15 | 9/8 | 10/9 | 9/8 | |||||||||
| By 2 steps | 32/27 | 5/4 | 6/5 | 6/5 | 5/4 | 5/4 | 6/5 | ||||||||||
| By 3 steps | 4/3 | 4/3 | 27/20 | 4/3 | 45/32 | 4/3 | 4/3 | ||||||||||
| By 4 steps | 64/45 | 3/2 | 3/2 | 3/2 | 3/2 | 40/27 | 3/2 | ||||||||||
| By 5 steps | 8/5 | 5/3 | 27/16 | 8/5 | 5/3 | 5/3 | 8/5 | ||||||||||
| By 6 steps | 16/9 | 15/8 | 9/5 | 16/9 | 15/8 | 16/9 | 9/5 | ||||||||||
This article "EPIDSM Locrian" is from Wikipedia. The list of its authors can be seen in its historical. Articles copied from Draft Namespace on Wikipedia could be seen on the Draft Namespace of Wikipedia and not main one.
