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Scale 741: "Gathimic"

Scale 741: Gathimic, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram


Common Names



Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,6,7,9}
Forte Number6-Z47
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 1257
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 663
Deep Scaleno
Interval Vector233241
Interval Spectrump4m2n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9,10}
<5> = {9,10,11}
Spectra Variation2.333
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 741 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1209
Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
3rd mode:
Scale 663
Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimicThis is the prime mode
4th mode:
Scale 2379
Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
5th mode:
Scale 3237
Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
6th mode:
Scale 1833
Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic


The prime form of this scale is Scale 663

Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic


The hexatonic modal family [741, 1209, 663, 2379, 3237, 1833] (Forte: 6-Z47) is the complement of the hexatonic modal family [363, 1419, 1581, 1713, 2229, 2757] (Forte: 6-Z25)


The inverse of a scale is a reflection using the root as its axis. The inverse of 741 is 1257

Scale 1257Scale 1257: Blues scale, Ian Ring Music TheoryBlues scale


Only scales that are chiral will have an enantiomorph. Scale 741 is chiral, and its enantiomorph is scale 1257

Scale 1257Scale 1257: Blues scale, Ian Ring Music TheoryBlues scale


T0 741  T0I 1257
T1 1482  T1I 2514
T2 2964  T2I 933
T3 1833  T3I 1866
T4 3666  T4I 3732
T5 3237  T5I 3369
T6 2379  T6I 2643
T7 663  T7I 1191
T8 1326  T8I 2382
T9 2652  T9I 669
T10 1209  T10I 1338
T11 2418  T11I 2676

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 743Scale 743: Chromatic Hypophrygian Inverse, Ian Ring Music TheoryChromatic Hypophrygian Inverse
Scale 737Scale 737, Ian Ring Music Theory
Scale 739Scale 739: Rorimic, Ian Ring Music TheoryRorimic
Scale 745Scale 745: Kolimic, Ian Ring Music TheoryKolimic
Scale 749Scale 749: Aeologian, Ian Ring Music TheoryAeologian
Scale 757Scale 757: Ionyptian, Ian Ring Music TheoryIonyptian
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 725Scale 725: Raga Yamuna Kalyani, Ian Ring Music TheoryRaga Yamuna Kalyani
Scale 677Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic
Scale 613Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
Scale 869Scale 869: Kothimic, Ian Ring Music TheoryKothimic
Scale 997Scale 997: Rycrian, Ian Ring Music TheoryRycrian
Scale 229Scale 229, Ian Ring Music Theory
Scale 485Scale 485: Stoptimic, Ian Ring Music TheoryStoptimic
Scale 1253Scale 1253: Zolimic, Ian Ring Music TheoryZolimic
Scale 1765Scale 1765: Lonian, Ian Ring Music TheoryLonian
Scale 2789Scale 2789: Zolian, Ian Ring Music TheoryZolian

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