Triple
T15602123
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Pythagorean tuning |
E375058
|
entity |
| Predicate | hasCharacteristicInterval |
P70298
|
FINISHED |
| Object |
Pythagorean comma
The Pythagorean comma is a small pitch discrepancy that arises in Pythagorean tuning when twelve pure fifths fail to align exactly with seven octaves, highlighting the inherent mathematical imperfection in this tuning system.
|
E1166779
|
NE FINISHED |
How this triple was built (5 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Pythagorean comma | Statement: [Pythagorean tuning, hasCharacteristicInterval, Pythagorean comma]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Pythagorean comma Context triple: [Pythagorean tuning, hasCharacteristicInterval, Pythagorean comma]
-
A.
Pythagorean tuning
Pythagorean tuning is a musical tuning system based on pure perfect fifths derived from simple whole-number ratios, historically linked to the mathematical and philosophical ideas of the Pythagoreans.
-
B.
Equal temperament
Equal temperament is a musical tuning system that divides the octave into equal steps, allowing instruments like the piano to play in all keys with consistent intonation.
-
C.
the Tristan chord
The Tristan chord is a famously ambiguous and harmonically innovative chord in Richard Wagner’s opera *Tristan und Isolde* that is often cited as a pivotal moment in the development of modern Western music.
-
D.
well temperament
Well temperament is a historical tuning system for keyboard instruments that allows playing in all keys with distinct key colors while avoiding the severe dissonances of earlier unequal temperaments.
-
E.
Hijaz scale
The Hijaz scale is a Middle Eastern musical mode characterized by its distinctive augmented second interval, often used to evoke an exotic or Arabic sound in melodies.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Pythagorean comma Triple: [Pythagorean tuning, hasCharacteristicInterval, Pythagorean comma]
Generated description
The Pythagorean comma is a small pitch discrepancy that arises in Pythagorean tuning when twelve pure fifths fail to align exactly with seven octaves, highlighting the inherent mathematical imperfection in this tuning system.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Pythagorean comma Target entity description: The Pythagorean comma is a small pitch discrepancy that arises in Pythagorean tuning when twelve pure fifths fail to align exactly with seven octaves, highlighting the inherent mathematical imperfection in this tuning system.
-
A.
Pythagorean tuning
Pythagorean tuning is a musical tuning system based on pure perfect fifths derived from simple whole-number ratios, historically linked to the mathematical and philosophical ideas of the Pythagoreans.
-
B.
Equal temperament
Equal temperament is a musical tuning system that divides the octave into equal steps, allowing instruments like the piano to play in all keys with consistent intonation.
-
C.
the Tristan chord
The Tristan chord is a famously ambiguous and harmonically innovative chord in Richard Wagner’s opera *Tristan und Isolde* that is often cited as a pivotal moment in the development of modern Western music.
-
D.
well temperament
Well temperament is a historical tuning system for keyboard instruments that allows playing in all keys with distinct key colors while avoiding the severe dissonances of earlier unequal temperaments.
-
E.
Hijaz scale
The Hijaz scale is a Middle Eastern musical mode characterized by its distinctive augmented second interval, often used to evoke an exotic or Arabic sound in melodies.
- F. None of above. chosen
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCharacteristicInterval Context triple: [Pythagorean tuning, hasCharacteristicInterval, Pythagorean comma]
-
A.
characteristicInterval
chosen
Indicates the specific interval or range that most characteristically represents the extent, duration, or variation of a given property or phenomenon.
-
B.
hasInterval
Indicates that something is associated with a specific span or range between two points in time, space, or value.
-
C.
hasCharacteristic
Indicates that an entity possesses, exhibits, or is defined by a particular attribute, feature, or quality.
-
D.
eraCharacteristic
Indicates that a particular quality, feature, or attribute is characteristic of, or typically associated with, a given historical or temporal era.
-
E.
hasBaseInterval
Indicates that one entity has a fundamental or reference interval that serves as the base measurement or range for another related quantity or structure.
- F. None of above.
Provenance (6 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d85cce25008190b13b52745fbd719b |
completed | April 10, 2026, 2:13 a.m. |
| NER | Named-entity recognition | batch_69e04e6399d88190b2c3e781667666d4 |
completed | April 16, 2026, 2:50 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ff56d1607c8190a42dc664abe45b32 |
completed | May 9, 2026, 3:46 p.m. |
| NEDg | Description generation | batch_69ff57c304188190afa695ae88cf0234 |
completed | May 9, 2026, 3:50 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ff5920436c81909addad5bb4566ae9 |
completed | May 9, 2026, 3:56 p.m. |
| PD | Predicate disambiguation | batch_69deda844af081909e658ebc9d9b403d |
completed | April 15, 2026, 12:23 a.m. |
Created at: April 10, 2026, 4:12 a.m.