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Scale 489: "Phrathimic"

Scale 489: Phrathimic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Phrathimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,5,6,7,8}
Forte Number6-Z40
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 753
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 303
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,5,7}
<3> = {3,4,6,8,9}
<4> = {5,7,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 489 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 573
Scale 573: Saptimic, Ian Ring Music TheorySaptimic
3rd mode:
Scale 1167
Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic
4th mode:
Scale 2631
Scale 2631: Macrimic, Ian Ring Music TheoryMacrimic
5th mode:
Scale 3363
Scale 3363: Rogimic, Ian Ring Music TheoryRogimic
6th mode:
Scale 3729
Scale 3729: Starimic, Ian Ring Music TheoryStarimic

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Complement

The hexatonic modal family [489, 573, 1167, 2631, 3363, 3729] (Forte: 6-Z40) is the complement of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117] (Forte: 6-Z11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 489 is 753

Scale 753Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 489 is chiral, and its enantiomorph is scale 753

Scale 753Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic

Transformations:

T0 489  T0I 753
T1 978  T1I 1506
T2 1956  T2I 3012
T3 3912  T3I 1929
T4 3729  T4I 3858
T5 3363  T5I 3621
T6 2631  T6I 3147
T7 1167  T7I 2199
T8 2334  T8I 303
T9 573  T9I 606
T10 1146  T10I 1212
T11 2292  T11I 2424

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 491Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
Scale 493Scale 493: Rygian, Ian Ring Music TheoryRygian
Scale 481Scale 481, Ian Ring Music Theory
Scale 485Scale 485: Stoptimic, Ian Ring Music TheoryStoptimic
Scale 497Scale 497: Kadimic, Ian Ring Music TheoryKadimic
Scale 505Scale 505: Sanian, Ian Ring Music TheorySanian
Scale 457Scale 457: Staptitonic, Ian Ring Music TheoryStaptitonic
Scale 473Scale 473: Aeralimic, Ian Ring Music TheoryAeralimic
Scale 425Scale 425: Raga Kokil Pancham, Ian Ring Music TheoryRaga Kokil Pancham
Scale 361Scale 361: Bocritonic, Ian Ring Music TheoryBocritonic
Scale 233Scale 233, Ian Ring Music Theory
Scale 745Scale 745: Kolimic, Ian Ring Music TheoryKolimic
Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian
Scale 1513Scale 1513: Stathian, Ian Ring Music TheoryStathian
Scale 2537Scale 2537: Laptian, Ian Ring Music TheoryLaptian

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography