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Scale 1931: "Stogian"

Scale 1931: Stogian, 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. Dotted lines indicate axes of symmetry.

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
Stogian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,7,8,9,10}
Forte Number7-Z36
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2621
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 367
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1931 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3013
Scale 3013: Thynian, Ian Ring Music TheoryThynian
3rd mode:
Scale 1777
Scale 1777: Saptian, Ian Ring Music TheorySaptian
4th mode:
Scale 367
Scale 367: Aerodian, Ian Ring Music TheoryAerodianThis is the prime mode
5th mode:
Scale 2231
Scale 2231: Macrian, Ian Ring Music TheoryMacrian
6th mode:
Scale 3163
Scale 3163: Rogian, Ian Ring Music TheoryRogian
7th mode:
Scale 3629
Scale 3629: Boptian, Ian Ring Music TheoryBoptian

Prime

The prime form of this scale is Scale 367

Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian

Complement

The heptatonic modal family [1931, 3013, 1777, 367, 2231, 3163, 3629] (Forte: 7-Z36) is the complement of the pentatonic modal family [151, 737, 1801, 2123, 3109] (Forte: 5-Z36)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1931 is 2621

Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1931 is chiral, and its enantiomorph is scale 2621

Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian

Transformations:

T0 1931  T0I 2621
T1 3862  T1I 1147
T2 3629  T2I 2294
T3 3163  T3I 493
T4 2231  T4I 986
T5 367  T5I 1972
T6 734  T6I 3944
T7 1468  T7I 3793
T8 2936  T8I 3491
T9 1777  T9I 2887
T10 3554  T10I 1679
T11 3013  T11I 3358

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 1929Scale 1929: Aeolycrimic, Ian Ring Music TheoryAeolycrimic
Scale 1933Scale 1933: Mocrian, Ian Ring Music TheoryMocrian
Scale 1935Scale 1935: Mycryllic, Ian Ring Music TheoryMycryllic
Scale 1923Scale 1923, Ian Ring Music Theory
Scale 1927Scale 1927, Ian Ring Music Theory
Scale 1939Scale 1939: Dathian, Ian Ring Music TheoryDathian
Scale 1947Scale 1947: Byptyllic, Ian Ring Music TheoryByptyllic
Scale 1963Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic
Scale 1995Scale 1995: Aeolacryllic, Ian Ring Music TheoryAeolacryllic
Scale 1803Scale 1803, Ian Ring Music Theory
Scale 1867Scale 1867: Solian, Ian Ring Music TheorySolian
Scale 1675Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
Scale 1419Scale 1419: Raga Kashyapi, Ian Ring Music TheoryRaga Kashyapi
Scale 907Scale 907: Tholimic, Ian Ring Music TheoryTholimic
Scale 2955Scale 2955: Thorian, Ian Ring Music TheoryThorian
Scale 3979Scale 3979: Dynyllic, Ian Ring Music TheoryDynyllic

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.