3.1. Multidimensional Visualization Commented
We will now show the multidimensional (dis)-harmony representation of the 154 Sonnets divided up into three separate diagrams, each containing approximately 50 poems and starting from the first sonnets. Each figure is assigned one separate page: this is done in order to allow the visualization attributes to be reasonably visible and not reduced too much to become unreadable. In an Appendix we provide an enlarged and a more focused image by dividing up each main figure shown here into four parts where sonnet numbers and their positions are more visible.
As said above, sonnets are aligned into three columns where sonnets with square and rectangular shape have parameters in full agreement, while sonnets in ellipses contain disagreements and also partially matching sentiment related parameters. In particular, in order to be situated in one of the three lists at first the semantic and sentiment-based sense evaluation is considered, then the sounds, which in case of poor match contribute to placing the figure closer to the column on the right-hand side, except for the Positively marked ones, which being the last column, will be placed on its left-hand side.
The first fifty-three poems in
Figure 2. show a clear majority of sonnets expressing Dis–Harmony, (24), followed by those expressing Positive Harmony (7) plus those sonnets (10) positioned in the middle between positive and disharmony, indicating a positively based but not completely in harmony between sound and sense; and a small number of sonnets in the Negative Harmony section – only (3) fully compliant with negative harmony, including those sonnets (9) with elliptical shapes on the right-hand side. For instance, the first poem in the three ranks is sonnet 47 positioned on the Dis -Harmony side. Its box is elliptical and bigger than the other boxes below which is obtained by a high ranking in the evaluation of the six parameters mentioned above. If we check the ranking of the sonnet in the six parameters and make a sum we have the following result:
Poetic Rhetoric Devices (11)
Metrical Devices (3)
Semantic Density (25)
Prosodic Structure (2)
Deep Conceptual Index (1)
Rhyming Scheme (27)
Total Ranking (69)
The smaller is the sum the bigger will be the corresponding shape, thus indicating high rankings. If we look now at Sonnet 38 which is lower in the Positive Harmony rank list and has been assigned a very small rectangular shape we have the following values and a much higher sum:
Poetic Rhetoric Devices (41)
Metrical Devices (33)
Semantic Density (18)
Prosodic Structure (15)
Deep Conceptual Index (33)
Rhyming Scheme (41)
Total Ranking (181)
As to the parameters determining their position in one of the three columns and the choice of the shape we are using the following labels: OK for POSITIVE, both for sound and sense; NO for NEGATIVE, again both for sound and sense. Then we use two intermediate labels to mark different levels of dis-harmony, EDGE and MIXED, where the first EDGE indicates a slight deviation and MIXED a more important dis-harmony. Hence fully dis-harmonic sonnets will be marked OK-NO, while slightly disharmonic EDGE-EDGE where however both sound and sense are in a similar condition; fully harmonic positive sonnets will be marked OK-OK and negative ones NO-NO.
Full parameters require an additional clarification as to where the threshold have been computed first of all. Sonnets are classified with five parameters where, a) is the vowels ratio between high-back/middle-low, b) the consonants ratio between obstruents/sonorants-fricatives, c) voicing ratio between voiced/unvoiced, d) the ratio between abstract/concrete a parameter we don't use in this evaluation, e) the sentiment/polarity parameter derived from ATF classification lexicon. Parameters are assigned a value according to threshold that we established by computing averages on the 154 sonnets. In
Table 1 we show the numbers related to the threshold derived from the average values for the four parameters we consider in our analysis.
It is also interesting to show how the subdivision of the 154 sonnets into three separate batches allows insights into the evolution of each parameter. Values for vowels and consonants are increasing from batch one to two and then slightly decreasing, while values for polarity are steadily decreasing. Threshold are then established according to macro-averages with slight adjustments. Vowels' threshold is fixed to 0.75, consonants' threshold to 0.45, voicing threshold to 0.65, and finally polarity is assigned two thresholds: first one is established at 1.65 with higher values for positively marked and with a minimum threshold at 0.9 where lower values start for negatively marked sonnets, while the interval between the two threshold is marked as EDGE. The three sound related parameters a), b), c) may contribute singularly thus being encoded as EDGE, or together, three or two of them contributing with a similar result to the evaluation thus ending up either as OK if values are below the thresholds, or as NO is values are above.
As to our two sonnets, 47 and 38 these are their values:
Sonnet 47
a) 0.6042, b) 0.3469, c) 0.755, d) 8, e) 5.25, f) ok, g) edge
Sonnet 38
a) 0.6296, b) 0.4, c) 0.5636, d) 0.6667, e) 2.85, f) ok, g) ok
where parameter e) is higher than 1 thus indicating a majority of positive sentiment evaluations, this being in agreement with parameters a), b), all being below 0.75 for a) (vowel related), below or equal to 0.4 for b) (consonants related), but below 0.65 for c) (voicing related) in Sonnet 38, and above in Sonnet 47. The outcome of these results will contribute the final evaluation amounting to a couple of OK – which stands for full positive harmony -, in parameters f) and g) for Sonnet 38, but not fully in agreement for Sonnet 47, where EDGE – as said above - is used to indicate that one parameter in the sound grid is not within the threshold. Sonnet 7 is a fully Dis-harmonic sonnet that is projected in the main column. Here are its parameters where we see the contemporary presence of a negative and a positive parameter respectively for the sound grid and the sense polarity:
Sonnet 7
a) 1.1428, b) 0.255, c) 0.763, d) 1.57, e) 2.4, f) ok, g) no
In
the second portion of the Sonnets collection that we see in
Figure 3 below, with sonnets from 54 to 105, we have the same number of Positive sonnets – (7), while the additional sonnets to the left are now only (9), the number of negatives is (4) with an additional (11) sonnets to the right. The number of disharmonic sonnets is now (21). Consider again Sonnet 60 which has received a classification as EDGE-NO different from Sonnet 7 above.
Sonnet 60
a) 0.8462, b) 0.641, c) 0.949, d) 1.223, e) 1.067, f) edge, g) no
In this case two sound related parameters – b) and c) - are above thresholds thus receiving NO, while polarity parameter e) is on the EDGE.
Finally, in
Figure 4 here below, a different result is obtained for sonnets going from 106 to 154, where this time, the majority is included in the left column – the one of Negative sonnets (7), plus those positioned on the right-hand side (19), thus reducing the number of Positive ones (4), plus those situated on its left-hand side (8). The number of disharmonic sonnets is now diminished to (11).
In total we have 56 fully disharmonic sonnets, 53 fully and partially negatively marked, and 45 fully and partially positively marked sonnets.
As we already mentioned, Disharmony may in turn be determined by a negative or a positive sense in disagreement with its sound grid and these are the ones that appear on the right or on the left of the two main columns, and we list them below together with the sonnets that have full harmony. The number of sonnets with an exactly NEGATIVE harmony is equal to 14 and they are the following ones reported in their order of general relevance according to semantic/poetic/prosodic evaluation and divided into three batches (A-the first 53, B-the second 51, C-the third 50) corresponding to those placed on the extreme left in the three figures 2., 3., 4. presented above:
A-9 30 35
B-57 70 86 89
C-118 124 127 129 133 134 143
While the number of an exactly POSITIVE harmony becomes 18 – graded as before - and they are,
A-16 32 37 38 39 43 48
B-69 76 77 79 82 87 91
C-106 108 110 131
and the number of sonnets with an exact DIS-HARMONY is 56 and they are :
A-1 5 7 12 14 15 17 18 19 20 21 24 25 31 33 34 41 42 44 46 48 51 52 53
B-55 63 68 72 73 74 75 83 85 88 90 92 93 94 95 97 98 102 103 104 105
C-109 111 117 120 132 137 139 144 145 146 149
In sum, 88 sonnets have been computed as fully compliant with the requirements of the ASSH : the remaining 66 are to be regarded as belonging to the class of Dis-harmonic with a bent or a bias on Positive or Negative polarity. These dis-harmonic sonnets may be subdivided into four separate sense related and biased classes:
Highly Negative 10; Negative Intermediate 8; Positive 55; Highly Positive 6
In particular, Highly Positive stands for sonnets with a ratio of Positive items superior to 2 (corresponding to the double of negatives); while Intermediate indicates sonnets with an identical count of Negative/Positive equal to 1 or below 1.2. Thus, we have 39 partially Disharmonic Negatives and 27 partially Disharmonic Positives sonnets: as a final count, only 32 sonnets have full harmony, while 122 are fully or partially disharmonic, that we show better in
Table 2 below.
According to our classification in sound-sense harmony, fully positive classification can be obtained from parameters similar to those of sonnet 82, while fully disharmonic classification can be obtained from parameters similar to those of sonnet 137, and the ones shown by sonnet 131 and 142 are regarded close to positive harmony, see below7:
Sonnet 82 a) 0.4314, b) 0.4167, c) 0.4898, d) 0.5, e) 3,ok,ok
Sonnet 131 a) 0.6122, b) 0.4339, c) 0.5882, d) 0.7143, e) 1.6,edge,ok
Sonnet 137 a) 0.5818, b) 0.25, c) 0.7292, d) 1.625, e) 1.0667,edge,edge
Sonnet 142 a) 0.6734, b) 0.3334, c) 0.4068, d) 0.3334, e) 1.3334,edge,ok
Where we see that while sonnet 82 has three times the number of positive elements with respect to negative ones, sonnet 131 has slightly more than half the same amount, and sonnets 137 and 142 have almost the same amount. In fact, in the whole collection of sonnets, there are only 9 sonnets whose ratios for sentiment/polarity overcomes 3 times negative ones, and 23 that have between 2 and 3 times the number of negative linguistic items. Here below we see parameters for sonnets not classified as positive but representing different cases of Disharmony, with the exception of 134 which is fully Negative.
Sonnet 130 a) 0.7059, b) 0.2903, c) 0.6226, d) 3, e) 1.5625,ok,edge
Sonnet 120 a) 0.5178, b) 0.2419, c) 0.5636, d) 0.6667, e) 0.4091,ok,no
Sonnet 126 a) 1.0606, b) 0.4893, c) 0.8095, d) 1.5, e) 1.1818,edge,no
Sonnet 134 a) 0.9473, b) 0.2388, c) 0.8445, d) 0.625, e) 0.5,no,no