17edo: Difference between revisions

Undo
Tag: Undo
Line 86: Line 86:
! Edo steps
! Edo steps
! Cents
! Cents
! Names of Intervals, extended  
! colspan="2" | Names of Intervals, extended  
pythagorean note names
pythagorean note names
! colspan="3" |[[Ups and Downs Notation]]
! colspan="3" |[[Ups and Downs Notation]]
Line 94: Line 94:
| 0
| 0
| 0.00
| 0.00
! colspan="2" | Unison
| Unison
| C
|unison
|P1
|P1
| C
| C
Line 103: Line 105:
| 70.59
| 70.59
| Super Unison/Minor Second
| Super Unison/Minor Second
Super Unison/Minor Prime
| Db <br> (B#)
|up 1sn, minor 2nd
|up 1sn, minor 2nd
up 1sn, minor 1st
|^1, m2
|^1, m2
^0, m1
| ^C, Db
| ^C, Db (B#)
| [[25/24]], [[26/25]], [[33/32]], [[24/23]]
| [[25/24]], [[26/25]], [[33/32]], [[24/23]]
|  
|  
Line 115: Line 115:
| 141.18
| 141.18
| Augmented Unison/Neutral Second
| Augmented Unison/Neutral Second
Augmented Unison/Neutral Prime
| C#
|aug 1sn, mid 2nd
|aug 1sn, mid 2nd
aug 1sn, mid 1st
|A1, ~2
|A1, ~2
A0, ~1
| C#, vD
| C#, vD
| [[13/12]], [[12/11]], [[14/13]], [[25/23]]
| [[13/12]], [[12/11]], [[14/13]], [[25/23]]
Line 127: Line 125:
| 211.76
| 211.76
| Major Second/Sub Third
| Major Second/Sub Third
Major Prime/Sub Second
| D
|major 2nd
|major 2nd
major 1st
|M2
|M2
M1
| D
| D
| [[9/8]], [[8/7]], [[28/25]], [[25/22]], [[26/23]]
| [[9/8]], [[8/7]], [[28/25]], [[25/22]], [[26/23]]
Line 139: Line 135:
| 282.35
| 282.35
| Minor Third/Super Second
| Minor Third/Super Second
Minor Second/Super Prime
| Eb
|minor 3rd
|minor 3rd
minor 2nd
|m3
|m3
m2
| Eb
| Eb
| [[13/11]], [[7/6]]
| [[13/11]], [[7/6]]
Line 152: Line 146:
| Augmented Second/Neutral
| Augmented Second/Neutral
Third/Diminished Fourth
Third/Diminished Fourth
 
| D# <br> (Fb)
Augmented Prime/Neutral
 
Second/Diminished Third
|mid 3rd
|mid 3rd
mid 2nd
|~3
|~3
~2
| vE
| vE, D (Fb)
| [[11/9]], [[16/13]], [[28/23]]
| [[11/9]], [[16/13]], [[28/23]]
| [[Maqamic]]/[[Hemif]]
| [[Maqamic]]/[[Hemif]]
Line 167: Line 156:
| 423.53
| 423.53
| Major Third/Sub Fourth
| Major Third/Sub Fourth
Major Second/Sub Third
| E
|major 3rd
|major 3rd
major 2nd
|M3
|M3
M2
| E
| E
| [[32/25]], [[9/7]], [[14/11]], [[33/26]], [[23/18]]
| [[32/25]], [[9/7]], [[14/11]], [[33/26]], [[23/18]]
Line 179: Line 166:
| 494.12
| 494.12
| Perfect Fourth
| Perfect Fourth
Perfect Third
| F
|perfect 4th
|perfect 4th
perfect 3rd
|P4
|P4
P3
| F
| F
| [[4/3]]
| [[4/3]]
Line 191: Line 176:
| 564.71
| 564.71
| Super Fourth/Diminshed Fifth
| Super Fourth/Diminshed Fifth
Super Fourth/Diminshed Third
| Gb <br> (E#)
|mid 4th,  
|mid 4th,  
diminished 5th
diminished 5th
mid 3rd,
diminished 4th
|~4,  
|~4,  
d5
d5
 
| ^F, Gb
~3,
 
d4
| ^F, Gb (E#)
| [[11/8]], [[18/13]], [[32/23]]
| [[11/8]], [[18/13]], [[32/23]]
| [[Progress]]
| [[Progress]]
Line 211: Line 188:
| 635.29
| 635.29
| Augmented Fourth/Sub Fifth
| Augmented Fourth/Sub Fifth
Augmented Third/Sub Fourth
| F#
|augmented 4th,  
|augmented 4th,  
mid 5th
mid 5th
augmented 3rd,
mid 4th
|A4, ~5
|A4, ~5
A5, ~4
| F#, vG
| F#, vG
| [[16/11]], [[13/9]], [[23/16]]
| [[16/11]], [[13/9]], [[23/16]]
Line 227: Line 199:
| 705.88
| 705.88
| Perfect Fifth
| Perfect Fifth
Perfect Fourth
| G
|perfect 5th
|perfect 5th
perfect 4th
|P5
|P5
P4
| G
| G
| [[3/2]]
| [[3/2]]
Line 239: Line 209:
| 776.47
| 776.47
| Super Fifth/Minor Sixth
| Super Fifth/Minor Sixth
Super Fourth/Minor Fifth
| Ab
|minor 6th
|minor 6th
minor 5th
|m6
|m6
m5
| Ab
| Ab, ^G
| [[25/16]], [[14/9]], [[11/7]], [[52/33]], [[36/23]]
| [[25/16]], [[14/9]], [[11/7]], [[52/33]], [[36/23]]
| Skwares
| Skwares
Line 252: Line 220:
| Augmented Fifth/Neutral  
| Augmented Fifth/Neutral  
Sixth/Diminished Seventh
Sixth/Diminished Seventh
 
| G#
Augmented Fourth/Neutral
 
Fifth/Diminished Sixth
|mid 6th
|mid 6th
mid 5th
|~6
|~6
~5
| vA
| G#, vA
| [[13/8]], [[18/11]], [[23/14]]
| [[13/8]], [[18/11]], [[23/14]]
| Maqamic/hemif
| Maqamic/hemif
Line 267: Line 230:
| 917.65
| 917.65
| Major Sixth/Sub Seventh
| Major Sixth/Sub Seventh
Major Fifth/Sub Sixth
| A
|major 6th
|major 6th
major 5th
|M6
|M6
M5
| A
| A
| [[17/10]], [[22/13]],[[12/7]]
| [[17/10]], [[22/13]],[[12/7]]
Line 279: Line 240:
| 988.24
| 988.24
| Minor Seventh/Super Sixth
| Minor Seventh/Super Sixth
Minor Sixth/Super Fifth
| Bb
|minor 7th
|minor 7th
minor 6th
|m7
|m7
m6
| Bb
| Bb, ^A
| [[16/9]], [[7/4]], [[25/14]], [[44/25]], [[23/13]]
| [[16/9]], [[7/4]], [[25/14]], [[44/25]], [[23/13]]
| Machine
| Machine
Line 292: Line 251:
| Augmented Sixth/Neutral
| Augmented Sixth/Neutral
Seventh/Diminished Octave
Seventh/Diminished Octave
 
| A#  (Cb)
Augmented Fifth/Neutral
 
Sixth/Diminished Seventh
|mid 7th
|mid 7th
mid 6th
|~7
|~7
~6
| vB
| vB, A#  (Cb)
| [[11/6]], [[24/13]], [[13/7]], [[46/25]]
| [[11/6]], [[24/13]], [[13/7]], [[46/25]]
| Bleu
| Bleu
Line 307: Line 261:
| 1129.41
| 1129.41
| Major Seventh/Sub Octave
| Major Seventh/Sub Octave
Major Sixth/Sub Seventh
| B
|major 7th
|major 7th
major 6th
|M7
|M7
M6
| B
| B
| [[25/13]], [[48/25]], [[64/33]], [[23/12]]
| [[25/13]], [[48/25]], [[64/33]], [[23/12]]
Line 318: Line 270:
| 17
| 17
| 1200.00
| 1200.00
! colspan="2" | Perfect Octave
| Perfect Octave
Perfect Seventh
| C
|octave
|P8
|P8
P7
| C
| C
| [[2/1]]
| [[2/1]]