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Sesquialtera in the Colombian Bambuco: Perception and Estimation of Beat and Meter – Extended version Cover

Sesquialtera in the Colombian Bambuco: Perception and Estimation of Beat and Meter – Extended version

Open Access
|Dec 2021

Figures & Tables

Figure 1

Bambuco example. The downbeat, caudal syncopation and a guitar accompaniment pattern are displayed.

Figure 2

Example of a tiple accompaniment pattern.

Figure 3

Hierarchical relationship between meter, measures (bars), and beats as defined in Western music theory. In both 3/4 and 6/8, the beats are indicated with vertical lines, and the downbeat with a blue arrow.

Table 1

Perceptual study dataset. Selection of bambucos from the ACMUS-MIR dataset. Each segment corresponds to a complete musical idea or phrase taken from the original recording. Due to the superposition of 3/4 and 6/8 meters in these bambucos, tempo annotations for both meters are presented. The date column indicates the recording date. For those tracks for which only an approximate recording date is known, the term circa is used. For other tracks only the recording decade (e.g. 1960s) is known.

TitleComposerTempo 3/4 [bpm]Tempo 6/8 [bpm]Duration [sec]ACMUS-MIR IDsDate
MimíCarlos A. Rosso Manrique18112119.4rh_0001circa 1980
Campanitas de mi puebloLuis Uribe Bueno15410218.8rh_0002circa 1970
El espinalunoCarlos A. Rosso Manrique21314216.4rh_0003circa 1980
El marco de tu ventanaLuis Uribe Bueno1308913.9rh_00381960s
Baile de ranasLuis Uribe Bueno15310216.5rh_00391960s
Bambuco instrumentalLuis Uribe Bueno19212815.1rh_00671960s
Bambuco instrumentalLuis Uribe Bueno19512820.1rh_00791960s
Bambuco instrumentalLuis Uribe Bueno19913217.0rh_00801960s
Bambuco instrumentalLuis Uribe Bueno16911325.5rh_01001960s
BochicaniandoLuis Uribe Bueno18412325.6if_0172circa 1998
Figure 4

Example transcription of the first two measures of track rh_0067. Conventional music notation and their MIDI representation aligned to the spectrogram is displayed.

Table 2

Trio dataset. The composer, performer and duration of each of the 12 bambucos is presented. Additionally, each bambuco is categorized as either traditional or chamber bambuco. The date column indicates the recording date. For those tracks for which only an approximate recording date is known, the term circa is used. Refer to Table 1 in the Supplementary Material for information on availability of the Trio dataset.

TitleComposerPerformerTypeDuration [sec]Date
Bambuco en BmAdolfo MejíaTrío Palos y CuerdasChamber2102018
Cuadro de bambucoSamuel Ibarra CondeSamuel Ibarra CondeChamber2832019
El parrandistaPeregrino GalindoTrío Morales PinoTraditional114circa 1970
El republicanoLuis A. CalvoColectivo la puerta mágicaTraditional1892017
FusagasugueñoJaime RomeroTrío JoyelTraditional184circa 1970
GarrapaticaGermán Darío PérezTrío PicaporteChamber2602016
Gloria BeatrizLeón CardonaTrío instrumental colombianoChamber2611985
Los doceÁlvaro Romero SánchezTrío Morales PinoTraditional143circa 1970
Nueva ColombiaEfraín OrozcoEspíritu colombianoTraditional1562000
Pa’ JuanchoGermán Darío PérezTrío Palos y CuerdasChamber1582001
PilaricaAristides RomeroUnknownTraditional174circa 1970
VerónicaGustavo DíezTrío Agua DulceChamber1542012
Figure 5

Characterization of factors affecting meter perception in bambucos on the Trio Dataset. Elements in three categories (composition, performance and audio production) were investigated.

Figure 6

Perceived meter aggregated for the 10 tracks and 10 participants in the study. Five distinct meters or meter combinations were observed.

Figure 7

Selection of accompaniment patterns (P) identified in the Trio Dataset for the tiple (left) and the guitar (right). Refer to the Table 2 in the Supplementary Material for the complete list of patterns.

Figure 8

Percentage of bambucos using each compositional element analyzed in the Trio Dataset. In the figure, “Tex.” stands for textures. Given that some elements in the same category (e.g., counterpoint and melody with accompaniment) can appear in the same bambuco segment, the percentages per category do not necessarily add up to 100%.

Figure 9

Percentage of bambucos using each performance element analyzed in the Trio Dataset. In the figure, “Ban.” stands for bandola. Given that some elements in the same category (e.g., ternary subdivision and binary subdivision) can appear in the same bambuco segment, the percentages per category do not necessarily add up to 100%.

Figure 10

Percentage of bambucos using each production element analyzed in the Trio Dataset.

Table 3

Beat tracking evaluation metrics obtained with Madmom and MultiBT. Results are presented using two sets of ground-truths: 3/4 and 6/8. All metrics presented have a maximum score of 100%.

AlgorithmF1AMLcAMLtCMLcCMLt
3Madmom75.0660.7677.0550.8964.27
4MultiBT42.7923.3225.2412.4314.33
6Madmom41.139.2310.715.645.72
8MultiBT45.1542.8751.7632.3835.54
Figure 11

Onset detection function extracted using superflux on a segment of track rh_0002. Ground-truth annotations in 3/4 and 6/8 are shown, as well as beat estimations obtained with Madmom and MultiBT.

Table 4

Instrument-specific beat tracking on separated bass tracks, and original mix (denoted -M in italic) for comparison: evaluation metrics obtained with Madmom and MultiBT. Results are presented using 3/4 and 6/8 as ground-truth. All metrics presented have a maximum score of 100%.

AlgorithmF1AMLcAMLtCMLcCMLt
Madmom81.0763.5873.5157.3467.62
3Madmom-M89.5675.4185.3470.5580.49
4MultiBT60.6544.2753.5232.5940.53
MultiBT-M47.0024.7226.9318.6020.65
Madmom39.8812.0813.406.547.47
6Madmom-M44.1010.7410.799.309.30
8MultiBT32.0719.6025.169.7711.45
MultiBT-M46.5845.8252.0034.2636.12
Table 5

Estimation of beat positions in 6/8 from estimations in 3/4: evaluation metrics obtained with MadmomDBN for estimated 6/8 beats. All metrics presented have a maximum score of 100%.

AlgorithmF1AMLcAMLtCMLcCMLt
6
8
MadmomDBN92.1388.4791.5988.4791.59
Figure 12

Computational rhythm analysis of bambuco rh_0179. Ground-truth annotations in 3/4 and 6/8 are displayed on the waveform. The downbeats are indicated with a “1”. Additionally, the aligned onset detection function (superflux), and the MadmomDBN beat and downbeat activations are displayed as heat maps. It can be seen that for this example the downbeat activation is always higher on beat 3 than on beat 1 of a 3/4 meter (red lines).

DOI: https://doi.org/10.5334/tismir.118 | Journal eISSN: 2514-3298
Language: English
Submitted on: Jun 21, 2021
Accepted on: Oct 19, 2021
Published on: Dec 8, 2021
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2021 Estefanía Cano, Fernando Mora-Ángel, Gustavo A. López Gil, José Ricardo Zapata, Antonio Escamilla, Juan Fernando Alzate, Moisés Betancur, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.