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Scale 1111: "Sycrimic"

Scale 1111: Sycrimic, 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
Sycrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,6,10}
Forte Number6-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3397
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections5
Modes5
Prime?no
prime: 349
Deep Scaleno
Interval Vector242412
Interval Spectrumpm4n2s4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,6}
<3> = {4,5,7,8}
<4> = {6,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.232
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1111 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2603
Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
3rd mode:
Scale 3349
Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
4th mode:
Scale 1861
Scale 1861: Phrygimic, Ian Ring Music TheoryPhrygimic
5th mode:
Scale 1489
Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
6th mode:
Scale 349
Scale 349: Borimic, Ian Ring Music TheoryBorimicThis is the prime mode

Prime

The prime form of this scale is Scale 349

Scale 349Scale 349: Borimic, Ian Ring Music TheoryBorimic

Complement

The hexatonic modal family [1111, 2603, 3349, 1861, 1489, 349] (Forte: 6-21) is the complement of the hexatonic modal family [349, 1111, 1489, 1861, 2603, 3349] (Forte: 6-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1111 is 3397

Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1111 is chiral, and its enantiomorph is scale 3397

Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic

Transformations:

T0 1111  T0I 3397
T1 2222  T1I 2699
T2 349  T2I 1303
T3 698  T3I 2606
T4 1396  T4I 1117
T5 2792  T5I 2234
T6 1489  T6I 373
T7 2978  T7I 746
T8 1861  T8I 1492
T9 3722  T9I 2984
T10 3349  T10I 1873
T11 2603  T11I 3746

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 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
Scale 1107Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic
Scale 1115Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror
Scale 1119Scale 1119: Rarian, Ian Ring Music TheoryRarian
Scale 1095Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic
Scale 1103Scale 1103: Lynimic, Ian Ring Music TheoryLynimic
Scale 1127Scale 1127: Eparimic, Ian Ring Music TheoryEparimic
Scale 1143Scale 1143: Styrian, Ian Ring Music TheoryStyrian
Scale 1047Scale 1047, Ian Ring Music Theory
Scale 1079Scale 1079, Ian Ring Music Theory
Scale 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic
Scale 1239Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 1623Scale 1623: Lothian, Ian Ring Music TheoryLothian
Scale 87Scale 87, Ian Ring Music Theory
Scale 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 3159Scale 3159: Stocrian, Ian Ring Music TheoryStocrian

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.