Analyses

The following analyses are part of Rebecca Shaw's master's thesis "Differentiae in the Cantus Manuscript Database: A Cross-Manuscript Analysis" (Dalhousie University, Halifax, Nova Scotia, 2019). The visualizations were created in Tableau using data from the Differentiae Database and the Cantus Manuscript Database

Saeculorum by date

Thesis reference
Table 4.7

Explore saeculorum by date and location. Notice the decreasing number of variants per mode from the twelfth to the sixteenth century. Select each number in the table to see which manuscripts it represents. 

Amen-antiphon connections by mode and manuscript

Thesis reference
Table 3.9 and Table 3.12

Explore the amen-antiphon connections of each manuscript by using the filter options on the left. Only one mode can be selected at a time, but users can select as many manuscripts as they wish. Click the row and column headings to sort the resulting table.

Amen endings by manuscript

Thesis reference
Table 3.3

Number of instances of each amen ending by manuscript and mode. Select the mode from the drop-down menu above the table. The table excludes amen endings that only appear one or two times within a single manuscript. The table can be sorted in ascending or descending order by amen ending and/or manuscript opening by clicking the row and column headers.

Differentia-antiphon relationships by mode

Thesis reference
Table 3.2, Table 3.4, Table 3.5, Table 3.6, Table 3.7, Table 3.8, Table 3.10

‘Common’ amen-antiphon connections by mode. Amen endings are listed across the top and antiphon incipits are listed on the left-hand side of the table (limited to the first two notes of the antiphon's pitch contour). Numbers in within the table represent the number of instances of each relationship. For example, 296 mode 1 antiphons open with the pitch contour CD and are preceded by differentiae ending Ga-G. Each table can be sorted in ascending or descending order by amen ending and/or antiphon opening by clicking the row and column headers.

Amen endings by mode, manuscript, and antiphon opening

Thesis reference
Table 3.12

Browse amen-antiphon connections by manuscript. Filter by mode and the first two notes of the antiphon pitch contour. The most common connection for each manuscript is highlighted in the table.

Syllabic contours of saeculorums

Thesis reference
Table 2.9 and Table 2.11

Explore saeculorum openings by their syllabic contour. Select the syllabic contour at the top and then click on siglum, saeculorum, or mode to highlight values in both tables. The left-hand table summarizes the different saeculorum for each generic contour by manuscript and the right-hand table summarizes all of the different saeculorum found across all manuscripts. Adiastematic manuscripts are excluded from these tables.

Multi-mode saeculorum

Thesis reference
Table 2.6

Summary of all saeculorum that appear in more than one mode. To see which manuscripts are effected, select each saeculorum or mode on left.

Frequency scores for saeculorum by mode

Thesis reference
Table 2.5

Frequency scores for each saeculorum, representing the commonality of each saeculorum within each mode in terms of the number of manuscripts it is used in and the number of instances within each manuscript. 

The frequency score for each saeculorum is the average of: 

Saeculorums by mode and manuscript

Thesis reference
Table 2.4

Summary of saeculorum openings per mode in 152 manuscripts. Click on any of the modes in (a) to highlight its corresponding values in (b) and (c). To see a summary of the saeculorums in a particular manuscript, click on the siga in (c). Multiple values can be selected using CTRL.

Amens by mode

Thesis reference
Table 2.3

Consistency of amen to mode, including modally-unique and multi-modal amen, and the number of instances of each amen within antiphoners.

First notes of differentiae by mode

Thesis reference
Table 2.2

Number of unique differentiae by mode and initial pitch. Select numbers in left-hand table to filter the right-hand table, which shows all of the unique differentiae (by Differentia ID) that appear in manuscripts and theorists' tonaries.

Tonus peregrinus differentiae in antiphoners

Thesis reference
Table 2.1

Number of manuscripts with tonus peregrinus differentiae, listed by century and antiphon. Select each number to see which manuscripts it represents, or, select a manuscript (listed by sigla), to see which antiphons it uses tonus peregrinus differentiae for.

Differentia similarity scores by order or cathedral

Thesis reference
Figure 4.4, Figure 4.5, Figure 4.6, Figure 4.7

Explore similarity of manuscripts' differentia, by monastic order, or cathedral. Notice the close similarity of manuscripts, not only from the same geographic regions, but also the same institution type, especially Franciscan, Dominican, Cistercian, and Cathedral. Select items under "Order" to highlight corresponding values in the map and graph, or select individual manuscripts in the graph view to highlight their location on the map. Note that one point on the map may represent multiple manuscripts.

Differentia similarity scores by manuscript

Thesis reference
Figure 4.3

Explore similarity of manuscripts' differentia. The similarity score considers the ratio of shared differentiae between two sources. If none of the differentiae in manuscript A appear in manuscript B, it would suggest that the chant traditions of the two manuscripts are unrelated; if all of the differentiae in A are also in B, it would suggest that there is an extremely close connection between the two.

Incipit search of antiphons

Thesis reference
Figure 2.3

For help identifying the modes of adiastematic differentiae, use the "Incipit Search" to find the most common mode for each antiphon.

Type of differentia

Thesis reference
Figure 4.1

Map showing location of manuscripts based on differentia type. Marginally-notated differentiae and tonary letters are of particular interest. Using this interactive map, you can hover over, or select, each point to see which manuscripts it represents, and filter the map view using the options on the right-hand side.

Geo-indicative saeculorum openings

Thesis reference
Figure 4.2 and Table 4.1

Explore the geographic relationships between manuscripts with shared saeculorums. Notice that there are several saeculorum restricted to manuscripts influenced by Beneventan chant, I-BV 19 and 20 (Benevento) and I-MC 542 (Montecassino), and others that are clustered in Germanic-Slavic regions; St.-Gall and area; Iberia; and modern-day France, Italy, Spain, and Portugal. Hover over each point to see which manuscripts it represents and the particular antiphons associated with each saeculorum in those manuscripts.

Map by saeculorum and mode

Thesis reference
Figure 2.3

View the locations of manuscripts that use particular saeculorum openings in each mode. Search by mode and/or saeculorum and hover over each point for details about the manuscripts that it represents.

Map of multi-mode saeculorum

Thesis reference
Figure 2.1 and Figure 2.2

Mapped multi-mode saeculorum. Select each multi-mode saeculorum on the left to see which manuscripts use the saeculorum in each mode. To see which manuscript(s) each point represents and the number of occurrences of each saeculorum in each mode in each manuscript, select a point on the map or a place name on the right.