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Scale 1227: "Thacrimic"

Scale 1227: Thacrimic, 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
Thacrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,6,7,10}
Forte Number6-Z50
Rotational Symmetrynone
Reflection Axes0.5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 723
Deep Scaleno
Interval Vector224232
Interval Spectrump3m2n4s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tones[1]
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1227 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2661
Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
3rd mode:
Scale 1689
Scale 1689: Lorimic, Ian Ring Music TheoryLorimic
4th mode:
Scale 723
Scale 723: Ionadimic, Ian Ring Music TheoryIonadimicThis is the prime mode
5th mode:
Scale 2409
Scale 2409: Zacrimic, Ian Ring Music TheoryZacrimic
6th mode:
Scale 813
Scale 813: Larimic, Ian Ring Music TheoryLarimic

Prime

The prime form of this scale is Scale 723

Scale 723Scale 723: Ionadimic, Ian Ring Music TheoryIonadimic

Complement

The hexatonic modal family [1227, 2661, 1689, 723, 2409, 813] (Forte: 6-Z50) is the complement of the hexatonic modal family [717, 843, 1203, 1641, 2469, 2649] (Forte: 6-Z29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1227 is 2661

Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic

Transformations:

T0 1227  T0I 2661
T1 2454  T1I 1227
T2 813  T2I 2454
T3 1626  T3I 813
T4 3252  T4I 1626
T5 2409  T5I 3252
T6 723  T6I 2409
T7 1446  T7I 723
T8 2892  T8I 1446
T9 1689  T9I 2892
T10 3378  T10I 1689
T11 2661  T11I 3378

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 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava
Scale 1231Scale 1231: Logian, Ian Ring Music TheoryLogian
Scale 1219Scale 1219, Ian Ring Music Theory
Scale 1223Scale 1223: Phryptimic, Ian Ring Music TheoryPhryptimic
Scale 1235Scale 1235: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 1243Scale 1243: Epylian, Ian Ring Music TheoryEpylian
Scale 1259Scale 1259: Stadian, Ian Ring Music TheoryStadian
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi
Scale 1195Scale 1195: Raga Gandharavam, Ian Ring Music TheoryRaga Gandharavam
Scale 1099Scale 1099: Dyritonic, Ian Ring Music TheoryDyritonic
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 1483Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 203Scale 203, Ian Ring Music Theory
Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 3275Scale 3275: Mela Divyamani, Ian Ring Music TheoryMela Divyamani

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.