Sonic Heritage of Medieval Bells from the Valdres Region of Norway
Abstract
1. Introduction
- To document the tonal characteristics of medieval bells from Valdres;
- To explore possible medieval tuning practices;
- To discuss the cultural significance of medieval bells as carriers of medieval sonic heritage.
2. Materials and Methods
2.1. Medieval Bells in the Valdres Region
2.2. Archaeoacoustic Methods
2.2.1. Fieldwork Acoustic Measurements
2.2.2. Post-Processing of Bell Recordings
2.2.3. Tonal Analysis of Bells
3. Results: Tonal Structure of Medieval Bells from Valdres
- ▪
- Harmonic—a whole-number frequency ratio;
- ▪
- Mildly harmonic—not exact whole-number frequency ratio, but still close enough to sound consonant;
- ▪
- Mildly inharmonic—deviates from a whole-number frequency ratio and begins to sound noticeably off, though not severely dissonant;
- ▪
- Inharmonic—deviates significantly from an ideal harmonic ratio, often resulting in perceptible dissonance.
- ▪
- Open consonance—octave, perfect fifth—sound pure and stable;
- ▪
- Soft consonance—major/minor third, major/minor sixth—still sounds pleasant, but with mild tension;
- ▪
- Mild dissonance—major second, minor seventh—sound tense or unstable;
- ▪
- Sharp dissonance—minor second, major seventh, tritone (augmented fourth/diminished fifth)—sounds highly tense, biting, piercing;
- ▪
- Exception—perfect fourth (can be considered consonant in dissonant surroundings and dissonant in consonant surroundings).
4. Discussion
4.1. Rediscovering Medieval Bell Tuning
“Sitting in my dining room, with outer and inner doors shut, I was struck by the singularly sweet sound of our six little Fittleworth bells as heard down the chimney. On opening the doors so as to hear them directly, I observed with surprise that the scale was different, and I finally discovered that what I had heard down the chimney were the hum-notes, which alone found their way to me by this devious course. After this experience, we cannot dismiss the hum-notes as unworthy of careful attention.”
4.2. Medieval Bells as Sonic Heritage: Implications for Heritage Preservation and Community Identity
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Church (Century of Building) 1 | Medieval Bells ID | Position of Bells | Approximate Dating of Bells 2 | Size of Bells [cm] Outer Diameter/Height + Crown |
---|---|---|---|---|
Slidredomen church 12th c. | SL01 | Bell turret | Mid-14th-mid-15th c. | 60/53 + 10 |
SL02 | Bell turret | First half of the 13th c. | 61/55 + 17 | |
SL03 | Bell turret | First half of the 13th c. | 58/56 + 18 | |
SL04 | Bell turret | Mid-14th c. | 54/50 + 10 | |
SL05 | Campanile | n/a | 90/77 + 18 | |
Lomen stave church End of 12th c. | LO01 | Campanile | Mid-12th c. | n/a |
LO02 | Campanile | Mid-14th c. | n/a | |
Hegge stave church 13th c. | HEG01 | Campanile | 12th c. | 49/n/a |
HEG02 | Campanile | 13th c. | 47.5/n/a | |
Reinli stave church 13–14th c. | RE01 | Campanile | n/a | n/a |
Hedalen stave church Mid-13th c. | HED01 | Bell turret | Mid-12th c. | 46/43 + 15 |
HED02 | Campanile | 14th c. | 63/56 + n/a |
Partial | Musical Interval | Interval in Cents |
---|---|---|
Hum | Two octaves below nominal | −2400 |
Prime | One octave below nominal | −1200 |
Tierce | Minor third above prime | −900 |
Quint | Perfect fifth above prime | −500 |
Nominal | Unison | 0 |
PARTIAL | MEDIEVAL BELLS IN VALDRES | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
THT | SL01 | SL02 | SL03 | SL04 | LO01 | LO02 | HEG01 | RE01 | HED01 | HED02 | |
Hum | −2400 | −2424 | −2676 | −2600 | −2696 | −2168 | −2219 | −2674 | −2497 | −2531 | −2437 |
Prime | −1200 | −1472 | −1390 | −1024 | −1216 | −1450 | −1449 | −1223 | −1056 | −1435 | −1525 |
Tierce | −900 | −921 | −970 | −877 | −980 | −816 | −894 | −972 | −778 | −886 | −950 |
Quint | −500 | −597 | −840 | −760 | −653 | −561 | −236 | −712 | −648 | −729 | −555 |
Nominal | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
True nominal | 0 | 1298 | 1553 | 1200 | 1367 | 2330 | 1216 | 2039 | 1303 | 1987 | 1829 |
BELL | Partial | Frequency (Hz) | Musical Note +/− Cents | Ideal Musical Interval (Fr. Ratio to Prime) | Closest Musical Interval (Fr. Ratio to Prime) | Harmonicity (Closest Integer Ratio) | Consonance |
---|---|---|---|---|---|---|---|
Hum | 320 | Eb(4) + 49 | Octave below (0.5) | Minor seventh below prime (0.577) | Inharmonic | Mild dissonance | |
Prime | 554.5 | Db(5) + 0 | Unison | Unison | Reference | Reference | |
SL01 | Tierce | 762.5 | G(5) − 47 | Minor third (1.2) | Augmented fourth (1.375) | Midly harmonic (11:8) | Mild dissonance |
Quint | 919.5 | Bb(5) − 23 | Perfect fifth (1.5) | Major sixth (1.658) | Harmonic (5:3) | Soft consonance | |
Nominal | 1298 | E(6) − 26 | Octave (2.0) | Octave + minor third (2.340) | Mildly harmonic | Soft consonance | |
Hum | 331 | E(4) + 10 | Octave below (0.5) | Major 7th below prime (0.476) | Inharmonic | Sharp dissonance | |
Prime | 695 | F(5) − 8 | Unison | Unison | Reference | Reference | |
SL02 | Tierce | 886.5 | A(5) + 13 | Minor third (1.2) | Major third (1.276) | Mildly inharmonic | Soft consonance |
Quint | 954.5 | Bb(5) + 41 | Perfect fifth (1.5) | Perfect fourth (1.373) | Harmonic (11:8) | Soft consonance | |
Nominal | 1553.5 | G(6) − 15 | Octave (2.0) | Octave + major second (2.235) | Midly harmonic (9:4) | Mild dissonance | |
Hum | 267 | C(4) + 35 | Octave below (0.5) | Octave + major third below prime (0.402) | Mildly harmonic (2:5) | Soft consonance | |
Prime | 664.5 | E(5) + 14 | Unison | Unison | Reference | Reference | |
SL03 | Tierce | 723 | F#(5) − 39 | Minor third (1.2) | Major second (1.088) | Inharmonic | Mild dissonance |
Quint | 773.5 | G(5) − 22 | Perfect fifth (1.5) | Minor third (1.164) | Inharmonic | Soft consonance | |
Nominal | 1200 | D(6) + 37 | Octave (2.0) | Major seventh (1.806) | Mildly harmonic (9:5) | Sharp dissonance | |
Hum | 288.5 | D(4) − 30 | Octave below (0.5) | Octave + major second below prime (0.426) | Mildly inharmonic | Mild dissonance | |
Prime | 677.5 | E(5) + 47 | Unison | Unison | Reference | Reference | |
SL04 | Tierce | 775.5 | G(5) − 18 | Minor third (1.2) | Minor third (1.145) | Inharmonic | Soft consonance |
Quint | 937.5 | Bb(5) + 10 | Perfect fifth (1.5) | Diminished fifth (1.384) | Mildly harmonic | Sharp dissonance | |
Nominal | 1367 | F(6) − 36 | Octave (2.0) | Octave + 17 cents (2.018) | Mildly inharmonic | Soft consonance | |
Hum | 666 | E(5) + 18 | Octave below (0.5) | Perfect fifth below prime (0.660) | Mildly harmonic (2:3) | Open consonance | |
Prime | 1008.5 | B(5) + 36 | Unison | Unison | Reference | Reference | |
LO01 | Tierce | 1454 | F#(6) + 30 | Minor third (1.2) | Perfect fifth (1.442) | Mildly inharmonic (7:5) | Open consonance |
Quint | 1685 | Ab(6) + 25 | Perfect fifth (1.5) | Minor seventh (1.671) | Mildly harmonic (5:3) | Mild dissonance | |
Nominal | 2330.5 | D(7) − 13 | Octave (2.0) | Octave + minor third (2.311) | Mildly inharmonic | Soft consonance | |
Hum | 337.5 | E(4) + 41 | Octave below (0.5) | Minor sixth below prime (0.641) | Mildly inharmonic (5:8) | Soft consonance | |
Prime | 526.5 | C(5) + 11 | Unison | Unison | Reference | Reference | |
LO02 | Tierce | 725.5 | F#(5) − 33 | Minor third (1.2) | Augmented fourth (1.378) | Mildly harmonic (11:8) | Sharp dissonance |
Quint | 1060.5 | C(6) + 23 | Perfect fifth (1.5) | Octave (2.015) | Harmonic (sharp) | Open consonance | |
Nominal | 1216 | Eb(6) − 39 | Octave (2.0) | Octave + minor third (2.310) | Mildly inharmonic (7:3) | Soft consonance | |
Hum | 435.5 | A(4) − 17 | Octave below (0.5) | Octave + major second below prime (0.433) | Mildly inharmonic (7:16) | Mild dissonance | |
Prime | 1006.5 | B(5) + 33 | Unison | Unison | Reference | Reference | |
HEG01 | Tierce | 1163.5 | D(6) − 16 | Minor third (1.2) | Minor third (1.156) | Inharmonic | Soft consonance |
Quint | 1351.5 | E(6) + 43 | Perfect fifth (1.5) | Perfect fourth (1.343) | Harmonic (4:3) | Open consonance | |
Nominal | 2039.5 | C(7) − 44 | Octave (2.0) | Octave + 23 cents (2.026) | Mildly inharmonic | Soft consonance | |
Hum | 308 | Eb(4) − 16 | Octave below (0.5) | Octave + major second below prime (0.435) | Inharmonic | Mild dissonance | |
Prime | 708.5 | F(5) + 25 | Unison | Unison | Reference | Reference | |
RE01 | Tierce | 813.5 | Ab(5) + 2 | Minor third (1.2) | Minor third (1.148) | Inharmonic | Soft consonance |
Quint | 896 | A(5) + 31 | Perfect fifth (1.5) | Major third (1.264) | Mildly Inharmonic | Soft consonance | |
Nominal | 1303 | E(6) − 19 | Octave (2.0) | Major seventh (1.839) | Mildly Inharmonic | Sharp dissonance | |
Hum | 460.5 | Bb(4) − 20 | Octave below (0.5) | Major seventh (0.531) | Mildly inharmonic (1:2) | Sharp dissonance | |
Prime | 867.5 | A(5) − 24 | Unison | Unison | Reference | Reference | |
HED01 | Tierce | 1191 | D(6) + 24 | Minor third (1.2) | Perfect fourth (1.373) | Mildly harmonic | Open consonance |
Quint | 1304 | E(6) − 18 | Perfect fifth (1.5) | Perfect fifth (1.502) | Harmonic (3:2) | Open consonance | |
Nominal | 1987 | B(6) + 10 | Octave (2.0) | Octave + major second (2.290) | Mildly inharmonic | Mild dissonance | |
Hum | 315.5 | Eb(4) + 24 | Octave below (0.5) | Minor sixth below prime (0.590) | Mildly inharmonic | Soft consonance | |
Prime | 534.5 | C(5) + 37 | Unison | Unison | Reference | Reference | |
HED02 | Tierce | 745 | F#(5) + 12 | Minor third (1.2) | Augmented fourth (1.394) | Inharmonic | Sharp dissonance |
Quint | 936 | Bb(5) + 7 | Perfect fifth (1.5) | Minor seventh (1.751) | Inharmonic | Mild dissonance | |
Nominal | 1289.5 | E(6) − 38 | Octave (2.0) | Octave + major third (2.412) | Mildly inharmonic (12:5) | Soft consonance |
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Đorđević, Z.; Alvarez-Morales, L.; Novković, D. Sonic Heritage of Medieval Bells from the Valdres Region of Norway. Heritage 2025, 8, 359. https://doi.org/10.3390/heritage8090359
Đorđević Z, Alvarez-Morales L, Novković D. Sonic Heritage of Medieval Bells from the Valdres Region of Norway. Heritage. 2025; 8(9):359. https://doi.org/10.3390/heritage8090359
Chicago/Turabian StyleĐorđević, Zorana, Lidia Alvarez-Morales, and Dragan Novković. 2025. "Sonic Heritage of Medieval Bells from the Valdres Region of Norway" Heritage 8, no. 9: 359. https://doi.org/10.3390/heritage8090359
APA StyleĐorđević, Z., Alvarez-Morales, L., & Novković, D. (2025). Sonic Heritage of Medieval Bells from the Valdres Region of Norway. Heritage, 8(9), 359. https://doi.org/10.3390/heritage8090359