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Scale 1373: "Storian"

Scale 1373: Storian, 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
Storian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,6,8,10}
Forte Number7-33
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections5
Modes6
Prime?no
prime: 1367
Deep Scaleno
Interval Vector262623
Interval Spectrump2m6n2s6d2t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {8,9,10}
<6> = {10,11}
Spectra Variation1.429
Maximally Evenno
Maximal Area Setyes
Interior Area2.665
Myhill Propertyno
Balancedno
Ridge Tones[6]
ProprietyProper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1373 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1367
Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone InverseThis is the prime mode
3rd mode:
Scale 2731
Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
4th mode:
Scale 3413
Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
5th mode:
Scale 1877
Scale 1877: Aeroptian, Ian Ring Music TheoryAeroptian
6th mode:
Scale 1493
Scale 1493: Lydian Minor, Ian Ring Music TheoryLydian Minor
7th mode:
Scale 1397
Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian

Prime

The prime form of this scale is Scale 1367

Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse

Complement

The heptatonic modal family [1373, 1367, 2731, 3413, 1877, 1493, 1397] (Forte: 7-33) is the complement of the pentatonic modal family [341, 1109, 1301, 1349, 1361] (Forte: 5-33)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1373 is 1877

Scale 1877Scale 1877: Aeroptian, Ian Ring Music TheoryAeroptian

Transformations:

T0 1373  T0I 1877
T1 2746  T1I 3754
T2 1397  T2I 3413
T3 2794  T3I 2731
T4 1493  T4I 1367
T5 2986  T5I 2734
T6 1877  T6I 1373
T7 3754  T7I 2746
T8 3413  T8I 1397
T9 2731  T9I 2794
T10 1367  T10I 1493
T11 2734  T11I 2986

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 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic
Scale 1369Scale 1369: Boptimic, Ian Ring Music TheoryBoptimic
Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian
Scale 1365Scale 1365: Whole Tone, Ian Ring Music TheoryWhole Tone
Scale 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2
Scale 1389Scale 1389: Minor Locrian, Ian Ring Music TheoryMinor Locrian
Scale 1405Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic
Scale 1309Scale 1309: Pogimic, Ian Ring Music TheoryPogimic
Scale 1341Scale 1341: Madian, Ian Ring Music TheoryMadian
Scale 1437Scale 1437: Sabach ascending, Ian Ring Music TheorySabach ascending
Scale 1501Scale 1501: Stygyllic, Ian Ring Music TheoryStygyllic
Scale 1117Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic
Scale 1245Scale 1245: Lathian, Ian Ring Music TheoryLathian
Scale 1629Scale 1629: Synian, Ian Ring Music TheorySynian
Scale 1885Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic
Scale 349Scale 349: Borimic, Ian Ring Music TheoryBorimic
Scale 861Scale 861: Rylian, Ian Ring Music TheoryRylian
Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian
Scale 3421Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic

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.