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Scale 2449: "Zacritonic"

Scale 2449: Zacritonic, 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

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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
Zacritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,7,8,11}
Forte Number5-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 307
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 307
Deep Scaleno
Interval Vector202420
Interval Spectrump2m4n2d2
Distribution Spectra<1> = {1,3,4}
<2> = {4,5,7}
<3> = {5,7,8}
<4> = {8,9,11}
Spectra Variation2.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2449 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 409
Scale 409: Laritonic, Ian Ring Music TheoryLaritonic
3rd mode:
Scale 563
Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
4th mode:
Scale 2329
Scale 2329: Styditonic, Ian Ring Music TheoryStyditonic
5th mode:
Scale 803
Scale 803: Loritonic, Ian Ring Music TheoryLoritonic

Prime

The prime form of this scale is Scale 307

Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani

Complement

The pentatonic modal family [2449, 409, 563, 2329, 803] (Forte: 5-21) is the complement of the heptatonic modal family [823, 883, 1843, 2459, 2489, 2969, 3277] (Forte: 7-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2449 is 307

Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2449 is chiral, and its enantiomorph is scale 307

Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani

Transformations:

T0 2449  T0I 307
T1 803  T1I 614
T2 1606  T2I 1228
T3 3212  T3I 2456
T4 2329  T4I 817
T5 563  T5I 1634
T6 1126  T6I 3268
T7 2252  T7I 2441
T8 409  T8I 787
T9 818  T9I 1574
T10 1636  T10I 3148
T11 3272  T11I 2201

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 2451Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
Scale 2453Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
Scale 2457Scale 2457: Major Augmented, Ian Ring Music TheoryMajor Augmented
Scale 2433Scale 2433, Ian Ring Music Theory
Scale 2441Scale 2441: Kyritonic, Ian Ring Music TheoryKyritonic
Scale 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani
Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
Scale 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
Scale 2321Scale 2321: Zyphic, Ian Ring Music TheoryZyphic
Scale 2385Scale 2385: Aeolanitonic, Ian Ring Music TheoryAeolanitonic
Scale 2193Scale 2193: Thaptic, Ian Ring Music TheoryThaptic
Scale 2705Scale 2705: Raga Mamata, Ian Ring Music TheoryRaga Mamata
Scale 2961Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
Scale 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic
Scale 401Scale 401: Epogic, Ian Ring Music TheoryEpogic
Scale 1425Scale 1425: Ryphitonic, Ian Ring Music TheoryRyphitonic

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.