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Scale 2545: "Thycrian"

Scale 2545: Thycrian, 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
Thycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,4,5,6,7,8,11}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 499
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 415
Deep Scaleno
Interval Vector533442
Interval Spectrump4m4n3s3d5t2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2545 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 415
Scale 415: Aeoladian, Ian Ring Music TheoryAeoladianThis is the prime mode
3rd mode:
Scale 2255
Scale 2255: Dylian, Ian Ring Music TheoryDylian
4th mode:
Scale 3175
Scale 3175: Eponian, Ian Ring Music TheoryEponian
5th mode:
Scale 3635
Scale 3635: Katygian, Ian Ring Music TheoryKatygian
6th mode:
Scale 3865
Scale 3865: Starian, Ian Ring Music TheoryStarian
7th mode:
Scale 995
Scale 995: Phrathian, Ian Ring Music TheoryPhrathian

Prime

The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian

Complement

The heptatonic modal family [2545, 415, 2255, 3175, 3635, 3865, 995] (Forte: 7-6) is the complement of the pentatonic modal family [103, 899, 2099, 2497, 3097] (Forte: 5-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2545 is 499

Scale 499Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2545 is chiral, and its enantiomorph is scale 499

Scale 499Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian

Transformations:

T0 2545  T0I 499
T1 995  T1I 998
T2 1990  T2I 1996
T3 3980  T3I 3992
T4 3865  T4I 3889
T5 3635  T5I 3683
T6 3175  T6I 3271
T7 2255  T7I 2447
T8 415  T8I 799
T9 830  T9I 1598
T10 1660  T10I 3196
T11 3320  T11I 2297

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 2547Scale 2547: Raga Ramkali, Ian Ring Music TheoryRaga Ramkali
Scale 2549Scale 2549: Rydyllic, Ian Ring Music TheoryRydyllic
Scale 2553Scale 2553: Aeolaptyllic, Ian Ring Music TheoryAeolaptyllic
Scale 2529Scale 2529, Ian Ring Music Theory
Scale 2537Scale 2537: Laptian, Ian Ring Music TheoryLaptian
Scale 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
Scale 2417Scale 2417: Kanimic, Ian Ring Music TheoryKanimic
Scale 2289Scale 2289: Mocrimic, Ian Ring Music TheoryMocrimic
Scale 2801Scale 2801: Zogian, Ian Ring Music TheoryZogian
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 497Scale 497: Kadimic, Ian Ring Music TheoryKadimic
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian

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.